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Finding the Fourth Proportional to 5,108.71, 7,659.16 and 2,641.95

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Solution

The fourth proportional to 5,108.71, 7,659.16 and 2,641.95 is: 3,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.71 : 7,659.16 = 2,641.95 : x
  2. Step 2: Convert to fraction form
    5,108.71/7,659.16 = 2,641.95/x
  3. Step 3: Cross multiply
    5,108.71x = 7,659.16 × 2,641.95
  4. Step 4: Simplify right side
    5,108.71x = 20,235,117.76
  5. Step 5: Solve for x
    x = 20,235,117.76/5,108.71
  6. Step 6: Final answer
    x = 3,960.91

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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.