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Finding the Fourth Proportional to 3,906.28, 5,853.66 and 3,495.40

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Solution

The fourth proportional to 3,906.28, 5,853.66 and 3,495.40 is: 5,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.28 : 5,853.66 = 3,495.40 : x
  2. Step 2: Convert to fraction form
    3,906.28/5,853.66 = 3,495.40/x
  3. Step 3: Cross multiply
    3,906.28x = 5,853.66 × 3,495.40
  4. Step 4: Simplify right side
    3,906.28x = 20,460,883.16
  5. Step 5: Solve for x
    x = 20,460,883.16/3,906.28
  6. Step 6: Final answer
    x = 5,237.95

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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.