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Finding the Fourth Proportional to 3,765.69, 5,635.85 and 3,437.19

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Solution

The fourth proportional to 3,765.69, 5,635.85 and 3,437.19 is: 5,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.69 : 5,635.85 = 3,437.19 : x
  2. Step 2: Convert to fraction form
    3,765.69/5,635.85 = 3,437.19/x
  3. Step 3: Cross multiply
    3,765.69x = 5,635.85 × 3,437.19
  4. Step 4: Simplify right side
    3,765.69x = 19,371,470.08
  5. Step 5: Solve for x
    x = 19,371,470.08/3,765.69
  6. Step 6: Final answer
    x = 5,144.20

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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.