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Finding the Fourth Proportional to 5,301.57, 7,317.12 and 3,963.90

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Solution

The fourth proportional to 5,301.57, 7,317.12 and 3,963.90 is: 5,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.57 : 7,317.12 = 3,963.90 : x
  2. Step 2: Convert to fraction form
    5,301.57/7,317.12 = 3,963.90/x
  3. Step 3: Cross multiply
    5,301.57x = 7,317.12 × 3,963.90
  4. Step 4: Simplify right side
    5,301.57x = 29,004,374.27
  5. Step 5: Solve for x
    x = 29,004,374.27/5,301.57
  6. Step 6: Final answer
    x = 5,470.90

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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.