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Finding the Fourth Proportional to 3,116.14, 4,651.41 and 2,747.10

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Solution

The fourth proportional to 3,116.14, 4,651.41 and 2,747.10 is: 4,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.14 : 4,651.41 = 2,747.10 : x
  2. Step 2: Convert to fraction form
    3,116.14/4,651.41 = 2,747.10/x
  3. Step 3: Cross multiply
    3,116.14x = 4,651.41 × 2,747.10
  4. Step 4: Simplify right side
    3,116.14x = 12,777,888.41
  5. Step 5: Solve for x
    x = 12,777,888.41/3,116.14
  6. Step 6: Final answer
    x = 4,100.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.