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Finding the Fourth Proportional to 3,755.31, 5,633.05 and 1,158.25

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Solution

The fourth proportional to 3,755.31, 5,633.05 and 1,158.25 is: 1,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.31 : 5,633.05 = 1,158.25 : x
  2. Step 2: Convert to fraction form
    3,755.31/5,633.05 = 1,158.25/x
  3. Step 3: Cross multiply
    3,755.31x = 5,633.05 × 1,158.25
  4. Step 4: Simplify right side
    3,755.31x = 6,524,480.16
  5. Step 5: Solve for x
    x = 6,524,480.16/3,755.31
  6. Step 6: Final answer
    x = 1,737.40

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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.