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Finding the Fourth Proportional to 3,432.38, 4,731.63 and 2,959.34

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Solution

The fourth proportional to 3,432.38, 4,731.63 and 2,959.34 is: 4,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.38 : 4,731.63 = 2,959.34 : x
  2. Step 2: Convert to fraction form
    3,432.38/4,731.63 = 2,959.34/x
  3. Step 3: Cross multiply
    3,432.38x = 4,731.63 × 2,959.34
  4. Step 4: Simplify right side
    3,432.38x = 14,002,501.92
  5. Step 5: Solve for x
    x = 14,002,501.92/3,432.38
  6. Step 6: Final answer
    x = 4,079.53

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Why These Related Problems?

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