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Finding the Fourth Proportional to 3,842.20, 5,771.52 and 3,258.40

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Solution

The fourth proportional to 3,842.20, 5,771.52 and 3,258.40 is: 4,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.20 : 5,771.52 = 3,258.40 : x
  2. Step 2: Convert to fraction form
    3,842.20/5,771.52 = 3,258.40/x
  3. Step 3: Cross multiply
    3,842.20x = 5,771.52 × 3,258.40
  4. Step 4: Simplify right side
    3,842.20x = 18,805,920.77
  5. Step 5: Solve for x
    x = 18,805,920.77/3,842.20
  6. Step 6: Final answer
    x = 4,894.57

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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.