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Finding the Fourth Proportional to 3,868.86, 5,346.63 and 3,436.86

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Solution

The fourth proportional to 3,868.86, 5,346.63 and 3,436.86 is: 4,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.86 : 5,346.63 = 3,436.86 : x
  2. Step 2: Convert to fraction form
    3,868.86/5,346.63 = 3,436.86/x
  3. Step 3: Cross multiply
    3,868.86x = 5,346.63 × 3,436.86
  4. Step 4: Simplify right side
    3,868.86x = 18,375,618.78
  5. Step 5: Solve for x
    x = 18,375,618.78/3,868.86
  6. Step 6: Final answer
    x = 4,749.62

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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.