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Finding the Fourth Proportional to 3,666.61, 5,501.56 and 1,691.18

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Solution

The fourth proportional to 3,666.61, 5,501.56 and 1,691.18 is: 2,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.61 : 5,501.56 = 1,691.18 : x
  2. Step 2: Convert to fraction form
    3,666.61/5,501.56 = 1,691.18/x
  3. Step 3: Cross multiply
    3,666.61x = 5,501.56 × 1,691.18
  4. Step 4: Simplify right side
    3,666.61x = 9,304,124.28
  5. Step 5: Solve for x
    x = 9,304,124.28/3,666.61
  6. Step 6: Final answer
    x = 2,537.53

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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.