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Finding the Fourth Proportional to 5,215.14, 7,822.31 and 1,517.40

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Solution

The fourth proportional to 5,215.14, 7,822.31 and 1,517.40 is: 2,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.14 : 7,822.31 = 1,517.40 : x
  2. Step 2: Convert to fraction form
    5,215.14/7,822.31 = 1,517.40/x
  3. Step 3: Cross multiply
    5,215.14x = 7,822.31 × 1,517.40
  4. Step 4: Simplify right side
    5,215.14x = 11,869,565.61
  5. Step 5: Solve for x
    x = 11,869,565.61/5,215.14
  6. Step 6: Final answer
    x = 2,275.98

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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.