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Finding the Fourth Proportional to 5,308.17, 7,962.12 and 2,536.80

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Solution

The fourth proportional to 5,308.17, 7,962.12 and 2,536.80 is: 3,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.17 : 7,962.12 = 2,536.80 : x
  2. Step 2: Convert to fraction form
    5,308.17/7,962.12 = 2,536.80/x
  3. Step 3: Cross multiply
    5,308.17x = 7,962.12 × 2,536.80
  4. Step 4: Simplify right side
    5,308.17x = 20,198,306.02
  5. Step 5: Solve for x
    x = 20,198,306.02/5,308.17
  6. Step 6: Final answer
    x = 3,805.14

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