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Finding the Fourth Proportional to 3,224.70, 4,447.98 and 2,560.50

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Solution

The fourth proportional to 3,224.70, 4,447.98 and 2,560.50 is: 3,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.70 : 4,447.98 = 2,560.50 : x
  2. Step 2: Convert to fraction form
    3,224.70/4,447.98 = 2,560.50/x
  3. Step 3: Cross multiply
    3,224.70x = 4,447.98 × 2,560.50
  4. Step 4: Simplify right side
    3,224.70x = 11,389,052.79
  5. Step 5: Solve for x
    x = 11,389,052.79/3,224.70
  6. Step 6: Final answer
    x = 3,531.82

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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.