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Finding the Fourth Proportional to 5,451.71, 8,176.80 and 1,753.47

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Solution

The fourth proportional to 5,451.71, 8,176.80 and 1,753.47 is: 2,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.71 : 8,176.80 = 1,753.47 : x
  2. Step 2: Convert to fraction form
    5,451.71/8,176.80 = 1,753.47/x
  3. Step 3: Cross multiply
    5,451.71x = 8,176.80 × 1,753.47
  4. Step 4: Simplify right side
    5,451.71x = 14,337,773.50
  5. Step 5: Solve for x
    x = 14,337,773.50/5,451.71
  6. Step 6: Final answer
    x = 2,629.96

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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.