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Finding the Fourth Proportional to 5,451.48, 8,177.28 and 4,082.64

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Solution

The fourth proportional to 5,451.48, 8,177.28 and 4,082.64 is: 6,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.48 : 8,177.28 = 4,082.64 : x
  2. Step 2: Convert to fraction form
    5,451.48/8,177.28 = 4,082.64/x
  3. Step 3: Cross multiply
    5,451.48x = 8,177.28 × 4,082.64
  4. Step 4: Simplify right side
    5,451.48x = 33,384,890.42
  5. Step 5: Solve for x
    x = 33,384,890.42/5,451.48
  6. Step 6: Final answer
    x = 6,124.00

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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.