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Finding the Fourth Proportional to 3,609.33, 5,414.95 and 1,529.42

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Solution

The fourth proportional to 3,609.33, 5,414.95 and 1,529.42 is: 2,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.33 : 5,414.95 = 1,529.42 : x
  2. Step 2: Convert to fraction form
    3,609.33/5,414.95 = 1,529.42/x
  3. Step 3: Cross multiply
    3,609.33x = 5,414.95 × 1,529.42
  4. Step 4: Simplify right side
    3,609.33x = 8,281,732.83
  5. Step 5: Solve for x
    x = 8,281,732.83/3,609.33
  6. Step 6: Final answer
    x = 2,294.53

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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.