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Finding the Fourth Proportional to 6,425.57, 8,869.38 and 3,772.91

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Solution

The fourth proportional to 6,425.57, 8,869.38 and 3,772.91 is: 5,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.57 : 8,869.38 = 3,772.91 : x
  2. Step 2: Convert to fraction form
    6,425.57/8,869.38 = 3,772.91/x
  3. Step 3: Cross multiply
    6,425.57x = 8,869.38 × 3,772.91
  4. Step 4: Simplify right side
    6,425.57x = 33,463,372.50
  5. Step 5: Solve for x
    x = 33,463,372.50/6,425.57
  6. Step 6: Final answer
    x = 5,207.84

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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.