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Finding the Fourth Proportional to 5,308.68, 7,962.86 and 2,537.30

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Solution

The fourth proportional to 5,308.68, 7,962.86 and 2,537.30 is: 3,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.68 : 7,962.86 = 2,537.30 : x
  2. Step 2: Convert to fraction form
    5,308.68/7,962.86 = 2,537.30/x
  3. Step 3: Cross multiply
    5,308.68x = 7,962.86 × 2,537.30
  4. Step 4: Simplify right side
    5,308.68x = 20,204,164.68
  5. Step 5: Solve for x
    x = 20,204,164.68/5,308.68
  6. Step 6: Final answer
    x = 3,805.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.