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Finding the Fourth Proportional to 3,422.16, 4,721.22 and 2,162.88

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Solution

The fourth proportional to 3,422.16, 4,721.22 and 2,162.88 is: 2,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.16 : 4,721.22 = 2,162.88 : x
  2. Step 2: Convert to fraction form
    3,422.16/4,721.22 = 2,162.88/x
  3. Step 3: Cross multiply
    3,422.16x = 4,721.22 × 2,162.88
  4. Step 4: Simplify right side
    3,422.16x = 10,211,432.31
  5. Step 5: Solve for x
    x = 10,211,432.31/3,422.16
  6. Step 6: Final answer
    x = 2,983.91

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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.