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Finding the Fourth Proportional to 3,737.76, 5,606.66 and 1,140.69

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Solution

The fourth proportional to 3,737.76, 5,606.66 and 1,140.69 is: 1,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.76 : 5,606.66 = 1,140.69 : x
  2. Step 2: Convert to fraction form
    3,737.76/5,606.66 = 1,140.69/x
  3. Step 3: Cross multiply
    3,737.76x = 5,606.66 × 1,140.69
  4. Step 4: Simplify right side
    3,737.76x = 6,395,455.29
  5. Step 5: Solve for x
    x = 6,395,455.29/3,737.76
  6. Step 6: Final answer
    x = 1,711.04

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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.