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Finding the Fourth Proportional to 5,760.11, 7,949.71 and 3,242.71

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Solution

The fourth proportional to 5,760.11, 7,949.71 and 3,242.71 is: 4,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.11 : 7,949.71 = 3,242.71 : x
  2. Step 2: Convert to fraction form
    5,760.11/7,949.71 = 3,242.71/x
  3. Step 3: Cross multiply
    5,760.11x = 7,949.71 × 3,242.71
  4. Step 4: Simplify right side
    5,760.11x = 25,778,582.07
  5. Step 5: Solve for x
    x = 25,778,582.07/5,760.11
  6. Step 6: Final answer
    x = 4,475.37

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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.