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Finding the Fourth Proportional to 5,494.23, 7,580.17 and 3,103.85

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Solution

The fourth proportional to 5,494.23, 7,580.17 and 3,103.85 is: 4,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.23 : 7,580.17 = 3,103.85 : x
  2. Step 2: Convert to fraction form
    5,494.23/7,580.17 = 3,103.85/x
  3. Step 3: Cross multiply
    5,494.23x = 7,580.17 × 3,103.85
  4. Step 4: Simplify right side
    5,494.23x = 23,527,657.23
  5. Step 5: Solve for x
    x = 23,527,657.23/5,494.23
  6. Step 6: Final answer
    x = 4,282.25

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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.