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Finding the Fourth Proportional to 3,712.74, 5,569.17 and 1,247.58

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Solution

The fourth proportional to 3,712.74, 5,569.17 and 1,247.58 is: 1,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.74 : 5,569.17 = 1,247.58 : x
  2. Step 2: Convert to fraction form
    3,712.74/5,569.17 = 1,247.58/x
  3. Step 3: Cross multiply
    3,712.74x = 5,569.17 × 1,247.58
  4. Step 4: Simplify right side
    3,712.74x = 6,947,980.43
  5. Step 5: Solve for x
    x = 6,947,980.43/3,712.74
  6. Step 6: Final answer
    x = 1,871.39

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