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Finding the Fourth Proportional to 3,934.22, 5,429 and 2,165.54

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Solution

The fourth proportional to 3,934.22, 5,429 and 2,165.54 is: 2,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.22 : 5,429 = 2,165.54 : x
  2. Step 2: Convert to fraction form
    3,934.22/5,429 = 2,165.54/x
  3. Step 3: Cross multiply
    3,934.22x = 5,429 × 2,165.54
  4. Step 4: Simplify right side
    3,934.22x = 11,756,716.66
  5. Step 5: Solve for x
    x = 11,756,716.66/3,934.22
  6. Step 6: Final answer
    x = 2,988.32

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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.