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Finding the Fourth Proportional to 4,866.50, 6,716.82 and 3,097.74

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Solution

The fourth proportional to 4,866.50, 6,716.82 and 3,097.74 is: 4,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.50 : 6,716.82 = 3,097.74 : x
  2. Step 2: Convert to fraction form
    4,866.50/6,716.82 = 3,097.74/x
  3. Step 3: Cross multiply
    4,866.50x = 6,716.82 × 3,097.74
  4. Step 4: Simplify right side
    4,866.50x = 20,806,961.99
  5. Step 5: Solve for x
    x = 20,806,961.99/4,866.50
  6. Step 6: Final answer
    x = 4,275.55

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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.