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Finding the Fourth Proportional to 3,755.61, 5,634.27 and 1,158.48

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Solution

The fourth proportional to 3,755.61, 5,634.27 and 1,158.48 is: 1,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.61 : 5,634.27 = 1,158.48 : x
  2. Step 2: Convert to fraction form
    3,755.61/5,634.27 = 1,158.48/x
  3. Step 3: Cross multiply
    3,755.61x = 5,634.27 × 1,158.48
  4. Step 4: Simplify right side
    3,755.61x = 6,527,189.11
  5. Step 5: Solve for x
    x = 6,527,189.11/3,755.61
  6. Step 6: Final answer
    x = 1,737.98

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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.