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Finding the Fourth Proportional to 3,914.96, 5,404.34 and 2,342.76

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Solution

The fourth proportional to 3,914.96, 5,404.34 and 2,342.76 is: 3,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.96 : 5,404.34 = 2,342.76 : x
  2. Step 2: Convert to fraction form
    3,914.96/5,404.34 = 2,342.76/x
  3. Step 3: Cross multiply
    3,914.96x = 5,404.34 × 2,342.76
  4. Step 4: Simplify right side
    3,914.96x = 12,661,071.58
  5. Step 5: Solve for x
    x = 12,661,071.58/3,914.96
  6. Step 6: Final answer
    x = 3,234.02

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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.