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Finding the Fourth Proportional to 4,965.49, 6,854.52 and 3,287.71

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Solution

The fourth proportional to 4,965.49, 6,854.52 and 3,287.71 is: 4,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.49 : 6,854.52 = 3,287.71 : x
  2. Step 2: Convert to fraction form
    4,965.49/6,854.52 = 3,287.71/x
  3. Step 3: Cross multiply
    4,965.49x = 6,854.52 × 3,287.71
  4. Step 4: Simplify right side
    4,965.49x = 22,535,673.95
  5. Step 5: Solve for x
    x = 22,535,673.95/4,965.49
  6. Step 6: Final answer
    x = 4,538.46

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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.