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Finding the Fourth Proportional to 3,114.94, 4,306.82 and 2,977.24

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Solution

The fourth proportional to 3,114.94, 4,306.82 and 2,977.24 is: 4,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.94 : 4,306.82 = 2,977.24 : x
  2. Step 2: Convert to fraction form
    3,114.94/4,306.82 = 2,977.24/x
  3. Step 3: Cross multiply
    3,114.94x = 4,306.82 × 2,977.24
  4. Step 4: Simplify right side
    3,114.94x = 12,822,436.78
  5. Step 5: Solve for x
    x = 12,822,436.78/3,114.94
  6. Step 6: Final answer
    x = 4,116.43

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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.