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Finding the Fourth Proportional to 5,246.68, 7,864.14 and 2,644.14

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Solution

The fourth proportional to 5,246.68, 7,864.14 and 2,644.14 is: 3,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.68 : 7,864.14 = 2,644.14 : x
  2. Step 2: Convert to fraction form
    5,246.68/7,864.14 = 2,644.14/x
  3. Step 3: Cross multiply
    5,246.68x = 7,864.14 × 2,644.14
  4. Step 4: Simplify right side
    5,246.68x = 20,793,887.14
  5. Step 5: Solve for x
    x = 20,793,887.14/5,246.68
  6. Step 6: Final answer
    x = 3,963.25

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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.