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Finding the Fourth Proportional to 3,876.89, 5,789.07 and 3,045.83

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Solution

The fourth proportional to 3,876.89, 5,789.07 and 3,045.83 is: 4,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.89 : 5,789.07 = 3,045.83 : x
  2. Step 2: Convert to fraction form
    3,876.89/5,789.07 = 3,045.83/x
  3. Step 3: Cross multiply
    3,876.89x = 5,789.07 × 3,045.83
  4. Step 4: Simplify right side
    3,876.89x = 17,632,494.13
  5. Step 5: Solve for x
    x = 17,632,494.13/3,876.89
  6. Step 6: Final answer
    x = 4,548.11

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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.