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Finding the Fourth Proportional to 4,972.32, 6,860.52 and 2,983.68

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Solution

The fourth proportional to 4,972.32, 6,860.52 and 2,983.68 is: 4,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.32 : 6,860.52 = 2,983.68 : x
  2. Step 2: Convert to fraction form
    4,972.32/6,860.52 = 2,983.68/x
  3. Step 3: Cross multiply
    4,972.32x = 6,860.52 × 2,983.68
  4. Step 4: Simplify right side
    4,972.32x = 20,469,596.31
  5. Step 5: Solve for x
    x = 20,469,596.31/4,972.32
  6. Step 6: Final answer
    x = 4,116.71

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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.