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Finding the Fourth Proportional to 3,757.35, 5,635.89 and 1,160.29

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Solution

The fourth proportional to 3,757.35, 5,635.89 and 1,160.29 is: 1,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.35 : 5,635.89 = 1,160.29 : x
  2. Step 2: Convert to fraction form
    3,757.35/5,635.89 = 1,160.29/x
  3. Step 3: Cross multiply
    3,757.35x = 5,635.89 × 1,160.29
  4. Step 4: Simplify right side
    3,757.35x = 6,539,266.81
  5. Step 5: Solve for x
    x = 6,539,266.81/3,757.35
  6. Step 6: Final answer
    x = 1,740.39

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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.