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Finding the Fourth Proportional to 5,149.56, 7,106.28 and 2,911.53

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Solution

The fourth proportional to 5,149.56, 7,106.28 and 2,911.53 is: 4,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.56 : 7,106.28 = 2,911.53 : x
  2. Step 2: Convert to fraction form
    5,149.56/7,106.28 = 2,911.53/x
  3. Step 3: Cross multiply
    5,149.56x = 7,106.28 × 2,911.53
  4. Step 4: Simplify right side
    5,149.56x = 20,690,147.41
  5. Step 5: Solve for x
    x = 20,690,147.41/5,149.56
  6. Step 6: Final answer
    x = 4,017.85

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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.