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Finding the Fourth Proportional to 5,257.38, 7,255.19 and 2,899.68

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Solution

The fourth proportional to 5,257.38, 7,255.19 and 2,899.68 is: 4,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.38 : 7,255.19 = 2,899.68 : x
  2. Step 2: Convert to fraction form
    5,257.38/7,255.19 = 2,899.68/x
  3. Step 3: Cross multiply
    5,257.38x = 7,255.19 × 2,899.68
  4. Step 4: Simplify right side
    5,257.38x = 21,037,729.34
  5. Step 5: Solve for x
    x = 21,037,729.34/5,257.38
  6. Step 6: Final answer
    x = 4,001.56

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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.