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Finding the Fourth Proportional to 5,714.97, 8,573.13 and 2,426.24

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Solution

The fourth proportional to 5,714.97, 8,573.13 and 2,426.24 is: 3,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.97 : 8,573.13 = 2,426.24 : x
  2. Step 2: Convert to fraction form
    5,714.97/8,573.13 = 2,426.24/x
  3. Step 3: Cross multiply
    5,714.97x = 8,573.13 × 2,426.24
  4. Step 4: Simplify right side
    5,714.97x = 20,800,428.07
  5. Step 5: Solve for x
    x = 20,800,428.07/5,714.97
  6. Step 6: Final answer
    x = 3,639.64

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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.