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Finding the Fourth Proportional to 3,432.68, 5,149.07 and 1,583.28

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Solution

The fourth proportional to 3,432.68, 5,149.07 and 1,583.28 is: 2,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.68 : 5,149.07 = 1,583.28 : x
  2. Step 2: Convert to fraction form
    3,432.68/5,149.07 = 1,583.28/x
  3. Step 3: Cross multiply
    3,432.68x = 5,149.07 × 1,583.28
  4. Step 4: Simplify right side
    3,432.68x = 8,152,417.57
  5. Step 5: Solve for x
    x = 8,152,417.57/3,432.68
  6. Step 6: Final answer
    x = 2,374.94

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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.