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Finding the Fourth Proportional to 3,712.74, 5,542.01 and 3,438.66

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Solution

The fourth proportional to 3,712.74, 5,542.01 and 3,438.66 is: 5,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.74 : 5,542.01 = 3,438.66 : x
  2. Step 2: Convert to fraction form
    3,712.74/5,542.01 = 3,438.66/x
  3. Step 3: Cross multiply
    3,712.74x = 5,542.01 × 3,438.66
  4. Step 4: Simplify right side
    3,712.74x = 19,057,088.11
  5. Step 5: Solve for x
    x = 19,057,088.11/3,712.74
  6. Step 6: Final answer
    x = 5,132.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.