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Finding the Fourth Proportional to 5,098.64, 7,649.18 and 1,978.73

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Solution

The fourth proportional to 5,098.64, 7,649.18 and 1,978.73 is: 2,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.64 : 7,649.18 = 1,978.73 : x
  2. Step 2: Convert to fraction form
    5,098.64/7,649.18 = 1,978.73/x
  3. Step 3: Cross multiply
    5,098.64x = 7,649.18 × 1,978.73
  4. Step 4: Simplify right side
    5,098.64x = 15,135,613.80
  5. Step 5: Solve for x
    x = 15,135,613.80/5,098.64
  6. Step 6: Final answer
    x = 2,968.56

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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.