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Finding the Fourth Proportional to 3,444.76, 5,162.44 and 2,211.52

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Solution

The fourth proportional to 3,444.76, 5,162.44 and 2,211.52 is: 3,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.76 : 5,162.44 = 2,211.52 : x
  2. Step 2: Convert to fraction form
    3,444.76/5,162.44 = 2,211.52/x
  3. Step 3: Cross multiply
    3,444.76x = 5,162.44 × 2,211.52
  4. Step 4: Simplify right side
    3,444.76x = 11,416,839.31
  5. Step 5: Solve for x
    x = 11,416,839.31/3,444.76
  6. Step 6: Final answer
    x = 3,314.26

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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.