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Finding the Fourth Proportional to 5,452.83, 8,179.20 and 5,187.20

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Solution

The fourth proportional to 5,452.83, 8,179.20 and 5,187.20 is: 7,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.83 : 8,179.20 = 5,187.20 : x
  2. Step 2: Convert to fraction form
    5,452.83/8,179.20 = 5,187.20/x
  3. Step 3: Cross multiply
    5,452.83x = 8,179.20 × 5,187.20
  4. Step 4: Simplify right side
    5,452.83x = 42,427,105.34
  5. Step 5: Solve for x
    x = 42,427,105.34/5,452.83
  6. Step 6: Final answer
    x = 7,780.75

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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.