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Finding the Fourth Proportional to 5,150.57, 7,102.66 and 3,877.49

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Solution

The fourth proportional to 5,150.57, 7,102.66 and 3,877.49 is: 5,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.57 : 7,102.66 = 3,877.49 : x
  2. Step 2: Convert to fraction form
    5,150.57/7,102.66 = 3,877.49/x
  3. Step 3: Cross multiply
    5,150.57x = 7,102.66 × 3,877.49
  4. Step 4: Simplify right side
    5,150.57x = 27,540,493.12
  5. Step 5: Solve for x
    x = 27,540,493.12/5,150.57
  6. Step 6: Final answer
    x = 5,347.08

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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.