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Finding the Fourth Proportional to 3,147.70, 4,712.43 and 2,814.18

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Solution

The fourth proportional to 3,147.70, 4,712.43 and 2,814.18 is: 4,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.70 : 4,712.43 = 2,814.18 : x
  2. Step 2: Convert to fraction form
    3,147.70/4,712.43 = 2,814.18/x
  3. Step 3: Cross multiply
    3,147.70x = 4,712.43 × 2,814.18
  4. Step 4: Simplify right side
    3,147.70x = 13,261,626.26
  5. Step 5: Solve for x
    x = 13,261,626.26/3,147.70
  6. Step 6: Final answer
    x = 4,213.12

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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.