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Finding the Fourth Proportional to 5,710.14, 8,569.53 and 2,425.54

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Solution

The fourth proportional to 5,710.14, 8,569.53 and 2,425.54 is: 3,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.14 : 8,569.53 = 2,425.54 : x
  2. Step 2: Convert to fraction form
    5,710.14/8,569.53 = 2,425.54/x
  3. Step 3: Cross multiply
    5,710.14x = 8,569.53 × 2,425.54
  4. Step 4: Simplify right side
    5,710.14x = 20,785,694.95
  5. Step 5: Solve for x
    x = 20,785,694.95/5,710.14
  6. Step 6: Final answer
    x = 3,640.14

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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.