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Finding the Fourth Proportional to 3,946.78, 5,435.48 and 3,860.66

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Solution

The fourth proportional to 3,946.78, 5,435.48 and 3,860.66 is: 5,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.78 : 5,435.48 = 3,860.66 : x
  2. Step 2: Convert to fraction form
    3,946.78/5,435.48 = 3,860.66/x
  3. Step 3: Cross multiply
    3,946.78x = 5,435.48 × 3,860.66
  4. Step 4: Simplify right side
    3,946.78x = 20,984,520.91
  5. Step 5: Solve for x
    x = 20,984,520.91/3,946.78
  6. Step 6: Final answer
    x = 5,316.88

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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.