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Finding the Fourth Proportional to 5,778.42, 7,974.20 and 3,260.52

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Solution

The fourth proportional to 5,778.42, 7,974.20 and 3,260.52 is: 4,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.42 : 7,974.20 = 3,260.52 : x
  2. Step 2: Convert to fraction form
    5,778.42/7,974.20 = 3,260.52/x
  3. Step 3: Cross multiply
    5,778.42x = 7,974.20 × 3,260.52
  4. Step 4: Simplify right side
    5,778.42x = 26,000,022.28
  5. Step 5: Solve for x
    x = 26,000,022.28/5,778.42
  6. Step 6: Final answer
    x = 4,499.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.