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Finding the Fourth Proportional to 5,773.14, 7,963.92 and 3,782.70

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Solution

The fourth proportional to 5,773.14, 7,963.92 and 3,782.70 is: 5,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.14 : 7,963.92 = 3,782.70 : x
  2. Step 2: Convert to fraction form
    5,773.14/7,963.92 = 3,782.70/x
  3. Step 3: Cross multiply
    5,773.14x = 7,963.92 × 3,782.70
  4. Step 4: Simplify right side
    5,773.14x = 30,125,120.18
  5. Step 5: Solve for x
    x = 30,125,120.18/5,773.14
  6. Step 6: Final answer
    x = 5,218.15

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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.