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Finding the Fourth Proportional to 5,714.71, 8,563.20 and 3,963.13

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Solution

The fourth proportional to 5,714.71, 8,563.20 and 3,963.13 is: 5,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.71 : 8,563.20 = 3,963.13 : x
  2. Step 2: Convert to fraction form
    5,714.71/8,563.20 = 3,963.13/x
  3. Step 3: Cross multiply
    5,714.71x = 8,563.20 × 3,963.13
  4. Step 4: Simplify right side
    5,714.71x = 33,937,074.82
  5. Step 5: Solve for x
    x = 33,937,074.82/5,714.71
  6. Step 6: Final answer
    x = 5,938.55

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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.