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Finding the Fourth Proportional to 3,418.70, 5,127.84 and 1,443.48

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Solution

The fourth proportional to 3,418.70, 5,127.84 and 1,443.48 is: 2,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.70 : 5,127.84 = 1,443.48 : x
  2. Step 2: Convert to fraction form
    3,418.70/5,127.84 = 1,443.48/x
  3. Step 3: Cross multiply
    3,418.70x = 5,127.84 × 1,443.48
  4. Step 4: Simplify right side
    3,418.70x = 7,401,934.48
  5. Step 5: Solve for x
    x = 7,401,934.48/3,418.70
  6. Step 6: Final answer
    x = 2,165.13

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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.