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Finding the Fourth Proportional to 5,451.66, 8,177.46 and 1,753.80

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Solution

The fourth proportional to 5,451.66, 8,177.46 and 1,753.80 is: 2,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.66 : 8,177.46 = 1,753.80 : x
  2. Step 2: Convert to fraction form
    5,451.66/8,177.46 = 1,753.80/x
  3. Step 3: Cross multiply
    5,451.66x = 8,177.46 × 1,753.80
  4. Step 4: Simplify right side
    5,451.66x = 14,341,629.35
  5. Step 5: Solve for x
    x = 14,341,629.35/5,451.66
  6. Step 6: Final answer
    x = 2,630.69

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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.