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Finding the Fourth Proportional to 3,381.76, 4,659.84 and 3,160.96

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Solution

The fourth proportional to 3,381.76, 4,659.84 and 3,160.96 is: 4,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.76 : 4,659.84 = 3,160.96 : x
  2. Step 2: Convert to fraction form
    3,381.76/4,659.84 = 3,160.96/x
  3. Step 3: Cross multiply
    3,381.76x = 4,659.84 × 3,160.96
  4. Step 4: Simplify right side
    3,381.76x = 14,729,567.85
  5. Step 5: Solve for x
    x = 14,729,567.85/3,381.76
  6. Step 6: Final answer
    x = 4,355.59

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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.