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Finding the Fourth Proportional to 5,805.96, 8,012.16 and 3,448.14

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Solution

The fourth proportional to 5,805.96, 8,012.16 and 3,448.14 is: 4,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.96 : 8,012.16 = 3,448.14 : x
  2. Step 2: Convert to fraction form
    5,805.96/8,012.16 = 3,448.14/x
  3. Step 3: Cross multiply
    5,805.96x = 8,012.16 × 3,448.14
  4. Step 4: Simplify right side
    5,805.96x = 27,627,049.38
  5. Step 5: Solve for x
    x = 27,627,049.38/5,805.96
  6. Step 6: Final answer
    x = 4,758.39

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.