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Finding the Fourth Proportional to 3,422.52, 4,720.68 and 3,143.70

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Solution

The fourth proportional to 3,422.52, 4,720.68 and 3,143.70 is: 4,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.52 : 4,720.68 = 3,143.70 : x
  2. Step 2: Convert to fraction form
    3,422.52/4,720.68 = 3,143.70/x
  3. Step 3: Cross multiply
    3,422.52x = 4,720.68 × 3,143.70
  4. Step 4: Simplify right side
    3,422.52x = 14,840,401.72
  5. Step 5: Solve for x
    x = 14,840,401.72/3,422.52
  6. Step 6: Final answer
    x = 4,336.10

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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.