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Finding the Fourth Proportional to 3,422.16, 5,131.19 and 1,339.68

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Solution

The fourth proportional to 3,422.16, 5,131.19 and 1,339.68 is: 2,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.16 : 5,131.19 = 1,339.68 : x
  2. Step 2: Convert to fraction form
    3,422.16/5,131.19 = 1,339.68/x
  3. Step 3: Cross multiply
    3,422.16x = 5,131.19 × 1,339.68
  4. Step 4: Simplify right side
    3,422.16x = 6,874,145.92
  5. Step 5: Solve for x
    x = 6,874,145.92/3,422.16
  6. Step 6: Final answer
    x = 2,008.72

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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.