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Finding the Fourth Proportional to 3,344.56, 5,021.70 and 2,469.76

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Solution

The fourth proportional to 3,344.56, 5,021.70 and 2,469.76 is: 3,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.56 : 5,021.70 = 2,469.76 : x
  2. Step 2: Convert to fraction form
    3,344.56/5,021.70 = 2,469.76/x
  3. Step 3: Cross multiply
    3,344.56x = 5,021.70 × 2,469.76
  4. Step 4: Simplify right side
    3,344.56x = 12,402,393.79
  5. Step 5: Solve for x
    x = 12,402,393.79/3,344.56
  6. Step 6: Final answer
    x = 3,708.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.