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Finding the Fourth Proportional to 5,149.57, 7,101.29 and 3,876.49

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Solution

The fourth proportional to 5,149.57, 7,101.29 and 3,876.49 is: 5,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.57 : 7,101.29 = 3,876.49 : x
  2. Step 2: Convert to fraction form
    5,149.57/7,101.29 = 3,876.49/x
  3. Step 3: Cross multiply
    5,149.57x = 7,101.29 × 3,876.49
  4. Step 4: Simplify right side
    5,149.57x = 27,528,090.96
  5. Step 5: Solve for x
    x = 27,528,090.96/5,149.57
  6. Step 6: Final answer
    x = 5,345.71

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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.