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Finding the Fourth Proportional to 5,197.30, 7,800.81 and 2,567.78

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Solution

The fourth proportional to 5,197.30, 7,800.81 and 2,567.78 is: 3,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.30 : 7,800.81 = 2,567.78 : x
  2. Step 2: Convert to fraction form
    5,197.30/7,800.81 = 2,567.78/x
  3. Step 3: Cross multiply
    5,197.30x = 7,800.81 × 2,567.78
  4. Step 4: Simplify right side
    5,197.30x = 20,030,763.90
  5. Step 5: Solve for x
    x = 20,030,763.90/5,197.30
  6. Step 6: Final answer
    x = 3,854.07

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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.