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Finding the Fourth Proportional to 4,962.94, 6,849.14 and 2,974.90

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Solution

The fourth proportional to 4,962.94, 6,849.14 and 2,974.90 is: 4,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.94 : 6,849.14 = 2,974.90 : x
  2. Step 2: Convert to fraction form
    4,962.94/6,849.14 = 2,974.90/x
  3. Step 3: Cross multiply
    4,962.94x = 6,849.14 × 2,974.90
  4. Step 4: Simplify right side
    4,962.94x = 20,375,506.59
  5. Step 5: Solve for x
    x = 20,375,506.59/4,962.94
  6. Step 6: Final answer
    x = 4,105.53

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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.