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Finding the Fourth Proportional to 3,444.96, 4,749.86 and 2,912.88

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Solution

The fourth proportional to 3,444.96, 4,749.86 and 2,912.88 is: 4,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.96 : 4,749.86 = 2,912.88 : x
  2. Step 2: Convert to fraction form
    3,444.96/4,749.86 = 2,912.88/x
  3. Step 3: Cross multiply
    3,444.96x = 4,749.86 × 2,912.88
  4. Step 4: Simplify right side
    3,444.96x = 13,835,757.63
  5. Step 5: Solve for x
    x = 13,835,757.63/3,444.96
  6. Step 6: Final answer
    x = 4,016.23

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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.