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Finding the Fourth Proportional to 5,983.34, 8,258.87 and 4,094.21

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Solution

The fourth proportional to 5,983.34, 8,258.87 and 4,094.21 is: 5,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.34 : 8,258.87 = 4,094.21 : x
  2. Step 2: Convert to fraction form
    5,983.34/8,258.87 = 4,094.21/x
  3. Step 3: Cross multiply
    5,983.34x = 8,258.87 × 4,094.21
  4. Step 4: Simplify right side
    5,983.34x = 33,813,486.38
  5. Step 5: Solve for x
    x = 33,813,486.38/5,983.34
  6. Step 6: Final answer
    x = 5,651.28

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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.