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Finding the Fourth Proportional to 4,866.75, 6,716.12 and 3,097.98

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Solution

The fourth proportional to 4,866.75, 6,716.12 and 3,097.98 is: 4,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.75 : 6,716.12 = 3,097.98 : x
  2. Step 2: Convert to fraction form
    4,866.75/6,716.12 = 3,097.98/x
  3. Step 3: Cross multiply
    4,866.75x = 6,716.12 × 3,097.98
  4. Step 4: Simplify right side
    4,866.75x = 20,806,389.95
  5. Step 5: Solve for x
    x = 20,806,389.95/4,866.75
  6. Step 6: Final answer
    x = 4,275.21

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Why These Related Problems?

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