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Finding the Fourth Proportional to 3,873.12, 5,334.48 and 3,348.96

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Solution

The fourth proportional to 3,873.12, 5,334.48 and 3,348.96 is: 4,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.12 : 5,334.48 = 3,348.96 : x
  2. Step 2: Convert to fraction form
    3,873.12/5,334.48 = 3,348.96/x
  3. Step 3: Cross multiply
    3,873.12x = 5,334.48 × 3,348.96
  4. Step 4: Simplify right side
    3,873.12x = 17,864,960.14
  5. Step 5: Solve for x
    x = 17,864,960.14/3,873.12
  6. Step 6: Final answer
    x = 4,612.55

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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.