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Finding the Fourth Proportional to 3,233.40, 4,836.60 and 2,906.70

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Solution

The fourth proportional to 3,233.40, 4,836.60 and 2,906.70 is: 4,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.40 : 4,836.60 = 2,906.70 : x
  2. Step 2: Convert to fraction form
    3,233.40/4,836.60 = 2,906.70/x
  3. Step 3: Cross multiply
    3,233.40x = 4,836.60 × 2,906.70
  4. Step 4: Simplify right side
    3,233.40x = 14,058,545.22
  5. Step 5: Solve for x
    x = 14,058,545.22/3,233.40
  6. Step 6: Final answer
    x = 4,347.91

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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.