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Finding the Fourth Proportional to 5,215.41, 7,823.87 and 1,517.16

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Solution

The fourth proportional to 5,215.41, 7,823.87 and 1,517.16 is: 2,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.41 : 7,823.87 = 1,517.16 : x
  2. Step 2: Convert to fraction form
    5,215.41/7,823.87 = 1,517.16/x
  3. Step 3: Cross multiply
    5,215.41x = 7,823.87 × 1,517.16
  4. Step 4: Simplify right side
    5,215.41x = 11,870,055.02
  5. Step 5: Solve for x
    x = 11,870,055.02/5,215.41
  6. Step 6: Final answer
    x = 2,275.96

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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.