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Finding the Fourth Proportional to 5,205.55, 7,807.82 and 2,864.78

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Solution

The fourth proportional to 5,205.55, 7,807.82 and 2,864.78 is: 4,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.55 : 7,807.82 = 2,864.78 : x
  2. Step 2: Convert to fraction form
    5,205.55/7,807.82 = 2,864.78/x
  3. Step 3: Cross multiply
    5,205.55x = 7,807.82 × 2,864.78
  4. Step 4: Simplify right side
    5,205.55x = 22,367,691.78
  5. Step 5: Solve for x
    x = 22,367,691.78/5,205.55
  6. Step 6: Final answer
    x = 4,296.90

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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.