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Finding the Fourth Proportional to 3,991.20, 5,502.84 and 3,430.56

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Solution

The fourth proportional to 3,991.20, 5,502.84 and 3,430.56 is: 4,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.20 : 5,502.84 = 3,430.56 : x
  2. Step 2: Convert to fraction form
    3,991.20/5,502.84 = 3,430.56/x
  3. Step 3: Cross multiply
    3,991.20x = 5,502.84 × 3,430.56
  4. Step 4: Simplify right side
    3,991.20x = 18,877,822.79
  5. Step 5: Solve for x
    x = 18,877,822.79/3,991.20
  6. Step 6: Final answer
    x = 4,729.86

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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.