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Finding the Fourth Proportional to 3,851.86, 5,770.72 and 3,436.78

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Solution

The fourth proportional to 3,851.86, 5,770.72 and 3,436.78 is: 5,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.86 : 5,770.72 = 3,436.78 : x
  2. Step 2: Convert to fraction form
    3,851.86/5,770.72 = 3,436.78/x
  3. Step 3: Cross multiply
    3,851.86x = 5,770.72 × 3,436.78
  4. Step 4: Simplify right side
    3,851.86x = 19,832,695.08
  5. Step 5: Solve for x
    x = 19,832,695.08/3,851.86
  6. Step 6: Final answer
    x = 5,148.86

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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.