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Finding the Fourth Proportional to 3,737.96, 5,606.94 and 1,141.04

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Solution

The fourth proportional to 3,737.96, 5,606.94 and 1,141.04 is: 1,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.96 : 5,606.94 = 1,141.04 : x
  2. Step 2: Convert to fraction form
    3,737.96/5,606.94 = 1,141.04/x
  3. Step 3: Cross multiply
    3,737.96x = 5,606.94 × 1,141.04
  4. Step 4: Simplify right side
    3,737.96x = 6,397,742.82
  5. Step 5: Solve for x
    x = 6,397,742.82/3,737.96
  6. Step 6: Final answer
    x = 1,711.56

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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.