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Finding the Fourth Proportional to 4,972.99, 6,862.64 and 2,734.85

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Solution

The fourth proportional to 4,972.99, 6,862.64 and 2,734.85 is: 3,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.99 : 6,862.64 = 2,734.85 : x
  2. Step 2: Convert to fraction form
    4,972.99/6,862.64 = 2,734.85/x
  3. Step 3: Cross multiply
    4,972.99x = 6,862.64 × 2,734.85
  4. Step 4: Simplify right side
    4,972.99x = 18,768,243.02
  5. Step 5: Solve for x
    x = 18,768,243.02/4,972.99
  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.