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Finding the Fourth Proportional to 6,042, 8,337.24 and 3,524.64

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Solution

The fourth proportional to 6,042, 8,337.24 and 3,524.64 is: 4,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042 : 8,337.24 = 3,524.64 : x
  2. Step 2: Convert to fraction form
    6,042/8,337.24 = 3,524.64/x
  3. Step 3: Cross multiply
    6,042x = 8,337.24 × 3,524.64
  4. Step 4: Simplify right side
    6,042x = 29,385,769.59
  5. Step 5: Solve for x
    x = 29,385,769.59/6,042
  6. Step 6: Final answer
    x = 4,863.58

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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.