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Finding the Fourth Proportional to 5,048.73, 6,966 and 3,458.70

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Solution

The fourth proportional to 5,048.73, 6,966 and 3,458.70 is: 4,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.73 : 6,966 = 3,458.70 : x
  2. Step 2: Convert to fraction form
    5,048.73/6,966 = 3,458.70/x
  3. Step 3: Cross multiply
    5,048.73x = 6,966 × 3,458.70
  4. Step 4: Simplify right side
    5,048.73x = 24,093,304.20
  5. Step 5: Solve for x
    x = 24,093,304.20/5,048.73
  6. Step 6: Final answer
    x = 4,772.15

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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.