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Finding the Fourth Proportional to 4,865.97, 6,715.80 and 3,098.16

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Solution

The fourth proportional to 4,865.97, 6,715.80 and 3,098.16 is: 4,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.97 : 6,715.80 = 3,098.16 : x
  2. Step 2: Convert to fraction form
    4,865.97/6,715.80 = 3,098.16/x
  3. Step 3: Cross multiply
    4,865.97x = 6,715.80 × 3,098.16
  4. Step 4: Simplify right side
    4,865.97x = 20,806,622.93
  5. Step 5: Solve for x
    x = 20,806,622.93/4,865.97
  6. Step 6: Final answer
    x = 4,275.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.