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Finding the Fourth Proportional to 3,755.60, 5,633.22 and 1,158.56

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Solution

The fourth proportional to 3,755.60, 5,633.22 and 1,158.56 is: 1,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.60 : 5,633.22 = 1,158.56 : x
  2. Step 2: Convert to fraction form
    3,755.60/5,633.22 = 1,158.56/x
  3. Step 3: Cross multiply
    3,755.60x = 5,633.22 × 1,158.56
  4. Step 4: Simplify right side
    3,755.60x = 6,526,423.36
  5. Step 5: Solve for x
    x = 6,526,423.36/3,755.60
  6. Step 6: Final answer
    x = 1,737.78

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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.