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Finding the Fourth Proportional to 3,755.46, 5,632.53 and 1,158.42

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Solution

The fourth proportional to 3,755.46, 5,632.53 and 1,158.42 is: 1,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.46 : 5,632.53 = 1,158.42 : x
  2. Step 2: Convert to fraction form
    3,755.46/5,632.53 = 1,158.42/x
  3. Step 3: Cross multiply
    3,755.46x = 5,632.53 × 1,158.42
  4. Step 4: Simplify right side
    3,755.46x = 6,524,835.40
  5. Step 5: Solve for x
    x = 6,524,835.40/3,755.46
  6. Step 6: Final answer
    x = 1,737.43

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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.