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Finding the Fourth Proportional to 4,972.65, 6,862.62 and 2,734.62

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Solution

The fourth proportional to 4,972.65, 6,862.62 and 2,734.62 is: 3,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.65 : 6,862.62 = 2,734.62 : x
  2. Step 2: Convert to fraction form
    4,972.65/6,862.62 = 2,734.62/x
  3. Step 3: Cross multiply
    4,972.65x = 6,862.62 × 2,734.62
  4. Step 4: Simplify right side
    4,972.65x = 18,766,690.68
  5. Step 5: Solve for x
    x = 18,766,690.68/4,972.65
  6. Step 6: Final answer
    x = 3,773.98

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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.