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Finding the Fourth Proportional to 5,609.29, 7,740.80 and 3,252.80

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Solution

The fourth proportional to 5,609.29, 7,740.80 and 3,252.80 is: 4,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.29 : 7,740.80 = 3,252.80 : x
  2. Step 2: Convert to fraction form
    5,609.29/7,740.80 = 3,252.80/x
  3. Step 3: Cross multiply
    5,609.29x = 7,740.80 × 3,252.80
  4. Step 4: Simplify right side
    5,609.29x = 25,179,274.24
  5. Step 5: Solve for x
    x = 25,179,274.24/5,609.29
  6. Step 6: Final answer
    x = 4,488.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.