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Finding the Fourth Proportional to 3,408.74, 4,702.61 and 2,227.76

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Solution

The fourth proportional to 3,408.74, 4,702.61 and 2,227.76 is: 3,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.74 : 4,702.61 = 2,227.76 : x
  2. Step 2: Convert to fraction form
    3,408.74/4,702.61 = 2,227.76/x
  3. Step 3: Cross multiply
    3,408.74x = 4,702.61 × 2,227.76
  4. Step 4: Simplify right side
    3,408.74x = 10,476,275.31
  5. Step 5: Solve for x
    x = 10,476,275.31/3,408.74
  6. Step 6: Final answer
    x = 3,073.36

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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.