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Finding the Fourth Proportional to 3,609.50, 5,414.95 and 1,529.48

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Solution

The fourth proportional to 3,609.50, 5,414.95 and 1,529.48 is: 2,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.50 : 5,414.95 = 1,529.48 : x
  2. Step 2: Convert to fraction form
    3,609.50/5,414.95 = 1,529.48/x
  3. Step 3: Cross multiply
    3,609.50x = 5,414.95 × 1,529.48
  4. Step 4: Simplify right side
    3,609.50x = 8,282,073.18
  5. Step 5: Solve for x
    x = 8,282,073.18/3,609.50
  6. Step 6: Final answer
    x = 2,294.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.