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Finding the Fourth Proportional to 4,341.70, 6,514.44 and 2,149.18

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Solution

The fourth proportional to 4,341.70, 6,514.44 and 2,149.18 is: 3,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.70 : 6,514.44 = 2,149.18 : x
  2. Step 2: Convert to fraction form
    4,341.70/6,514.44 = 2,149.18/x
  3. Step 3: Cross multiply
    4,341.70x = 6,514.44 × 2,149.18
  4. Step 4: Simplify right side
    4,341.70x = 14,000,704.16
  5. Step 5: Solve for x
    x = 14,000,704.16/4,341.70
  6. Step 6: Final answer
    x = 3,224.71

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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.