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Finding the Fourth Proportional to 3,422.43, 5,132.84 and 1,341.72

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Solution

The fourth proportional to 3,422.43, 5,132.84 and 1,341.72 is: 2,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.43 : 5,132.84 = 1,341.72 : x
  2. Step 2: Convert to fraction form
    3,422.43/5,132.84 = 1,341.72/x
  3. Step 3: Cross multiply
    3,422.43x = 5,132.84 × 1,341.72
  4. Step 4: Simplify right side
    3,422.43x = 6,886,827.38
  5. Step 5: Solve for x
    x = 6,886,827.38/3,422.43
  6. Step 6: Final answer
    x = 2,012.26

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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.