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Finding the Fourth Proportional to 3,948.96, 5,448.48 and 2,376.48

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Solution

The fourth proportional to 3,948.96, 5,448.48 and 2,376.48 is: 3,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.96 : 5,448.48 = 2,376.48 : x
  2. Step 2: Convert to fraction form
    3,948.96/5,448.48 = 2,376.48/x
  3. Step 3: Cross multiply
    3,948.96x = 5,448.48 × 2,376.48
  4. Step 4: Simplify right side
    3,948.96x = 12,948,203.75
  5. Step 5: Solve for x
    x = 12,948,203.75/3,948.96
  6. Step 6: Final answer
    x = 3,278.89

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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.