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Finding the Fourth Proportional to 6,385.80, 8,812.38 and 3,732.68

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Solution

The fourth proportional to 6,385.80, 8,812.38 and 3,732.68 is: 5,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.80 : 8,812.38 = 3,732.68 : x
  2. Step 2: Convert to fraction form
    6,385.80/8,812.38 = 3,732.68/x
  3. Step 3: Cross multiply
    6,385.80x = 8,812.38 × 3,732.68
  4. Step 4: Simplify right side
    6,385.80x = 32,893,750.52
  5. Step 5: Solve for x
    x = 32,893,750.52/6,385.80
  6. Step 6: Final answer
    x = 5,151.08

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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.