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Finding the Fourth Proportional to 6,142.39, 8,475.65 and 3,624.61

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Solution

The fourth proportional to 6,142.39, 8,475.65 and 3,624.61 is: 5,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.39 : 8,475.65 = 3,624.61 : x
  2. Step 2: Convert to fraction form
    6,142.39/8,475.65 = 3,624.61/x
  3. Step 3: Cross multiply
    6,142.39x = 8,475.65 × 3,624.61
  4. Step 4: Simplify right side
    6,142.39x = 30,720,932.93
  5. Step 5: Solve for x
    x = 30,720,932.93/6,142.39
  6. Step 6: Final answer
    x = 5,001.46

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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.