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Finding the Fourth Proportional to 4,675.79, 6,458.17 and 3,414.82

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Solution

The fourth proportional to 4,675.79, 6,458.17 and 3,414.82 is: 4,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.79 : 6,458.17 = 3,414.82 : x
  2. Step 2: Convert to fraction form
    4,675.79/6,458.17 = 3,414.82/x
  3. Step 3: Cross multiply
    4,675.79x = 6,458.17 × 3,414.82
  4. Step 4: Simplify right side
    4,675.79x = 22,053,488.08
  5. Step 5: Solve for x
    x = 22,053,488.08/4,675.79
  6. Step 6: Final answer
    x = 4,716.53

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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.