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Finding the Fourth Proportional to 4,972.97, 6,862.72 and 2,734.80

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Solution

The fourth proportional to 4,972.97, 6,862.72 and 2,734.80 is: 3,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.97 : 6,862.72 = 2,734.80 : x
  2. Step 2: Convert to fraction form
    4,972.97/6,862.72 = 2,734.80/x
  3. Step 3: Cross multiply
    4,972.97x = 6,862.72 × 2,734.80
  4. Step 4: Simplify right side
    4,972.97x = 18,768,166.66
  5. Step 5: Solve for x
    x = 18,768,166.66/4,972.97
  6. Step 6: Final answer
    x = 3,774.04

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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.