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Finding the Fourth Proportional to 3,938.59, 5,430.19 and 3,227.82

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Solution

The fourth proportional to 3,938.59, 5,430.19 and 3,227.82 is: 4,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.59 : 5,430.19 = 3,227.82 : x
  2. Step 2: Convert to fraction form
    3,938.59/5,430.19 = 3,227.82/x
  3. Step 3: Cross multiply
    3,938.59x = 5,430.19 × 3,227.82
  4. Step 4: Simplify right side
    3,938.59x = 17,527,675.89
  5. Step 5: Solve for x
    x = 17,527,675.89/3,938.59
  6. Step 6: Final answer
    x = 4,450.24

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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.