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Finding the Fourth Proportional to 3,649.04, 5,476.82 and 2,609

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Solution

The fourth proportional to 3,649.04, 5,476.82 and 2,609 is: 3,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.04 : 5,476.82 = 2,609 : x
  2. Step 2: Convert to fraction form
    3,649.04/5,476.82 = 2,609/x
  3. Step 3: Cross multiply
    3,649.04x = 5,476.82 × 2,609
  4. Step 4: Simplify right side
    3,649.04x = 14,289,023.38
  5. Step 5: Solve for x
    x = 14,289,023.38/3,649.04
  6. Step 6: Final answer
    x = 3,915.83

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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.