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Finding the Fourth Proportional to 5,182.92, 7,182.68 and 5,084.46

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Solution

The fourth proportional to 5,182.92, 7,182.68 and 5,084.46 is: 7,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.92 : 7,182.68 = 5,084.46 : x
  2. Step 2: Convert to fraction form
    5,182.92/7,182.68 = 5,084.46/x
  3. Step 3: Cross multiply
    5,182.92x = 7,182.68 × 5,084.46
  4. Step 4: Simplify right side
    5,182.92x = 36,520,023.73
  5. Step 5: Solve for x
    x = 36,520,023.73/5,182.92
  6. Step 6: Final answer
    x = 7,046.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.