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Finding the Fourth Proportional to 4,972.88, 6,862.72 and 2,734.84

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Solution

The fourth proportional to 4,972.88, 6,862.72 and 2,734.84 is: 3,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.88 : 6,862.72 = 2,734.84 : x
  2. Step 2: Convert to fraction form
    4,972.88/6,862.72 = 2,734.84/x
  3. Step 3: Cross multiply
    4,972.88x = 6,862.72 × 2,734.84
  4. Step 4: Simplify right side
    4,972.88x = 18,768,441.16
  5. Step 5: Solve for x
    x = 18,768,441.16/4,972.88
  6. Step 6: Final answer
    x = 3,774.16

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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.