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Finding the Fourth Proportional to 3,943.84, 5,443 and 2,265.52

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Solution

The fourth proportional to 3,943.84, 5,443 and 2,265.52 is: 3,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.84 : 5,443 = 2,265.52 : x
  2. Step 2: Convert to fraction form
    3,943.84/5,443 = 2,265.52/x
  3. Step 3: Cross multiply
    3,943.84x = 5,443 × 2,265.52
  4. Step 4: Simplify right side
    3,943.84x = 12,331,225.36
  5. Step 5: Solve for x
    x = 12,331,225.36/3,943.84
  6. Step 6: Final answer
    x = 3,126.71

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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.