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Finding the Fourth Proportional to 3,912.48, 5,854.74 and 3,398.54

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Solution

The fourth proportional to 3,912.48, 5,854.74 and 3,398.54 is: 5,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.48 : 5,854.74 = 3,398.54 : x
  2. Step 2: Convert to fraction form
    3,912.48/5,854.74 = 3,398.54/x
  3. Step 3: Cross multiply
    3,912.48x = 5,854.74 × 3,398.54
  4. Step 4: Simplify right side
    3,912.48x = 19,897,568.08
  5. Step 5: Solve for x
    x = 19,897,568.08/3,912.48
  6. Step 6: Final answer
    x = 5,085.67

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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.