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Finding the Fourth Proportional to 6,427.39, 8,868 and 4,037.62

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Solution

The fourth proportional to 6,427.39, 8,868 and 4,037.62 is: 5,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.39 : 8,868 = 4,037.62 : x
  2. Step 2: Convert to fraction form
    6,427.39/8,868 = 4,037.62/x
  3. Step 3: Cross multiply
    6,427.39x = 8,868 × 4,037.62
  4. Step 4: Simplify right side
    6,427.39x = 35,805,614.16
  5. Step 5: Solve for x
    x = 35,805,614.16/6,427.39
  6. Step 6: Final answer
    x = 5,570.79

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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.