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Finding the Fourth Proportional to 3,805.56, 5,709.96 and 1,830.24

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Solution

The fourth proportional to 3,805.56, 5,709.96 and 1,830.24 is: 2,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.56 : 5,709.96 = 1,830.24 : x
  2. Step 2: Convert to fraction form
    3,805.56/5,709.96 = 1,830.24/x
  3. Step 3: Cross multiply
    3,805.56x = 5,709.96 × 1,830.24
  4. Step 4: Simplify right side
    3,805.56x = 10,450,597.19
  5. Step 5: Solve for x
    x = 10,450,597.19/3,805.56
  6. Step 6: Final answer
    x = 2,746.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.