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Finding the Fourth Proportional to 3,442.69, 5,155.71 and 3,270.43

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Solution

The fourth proportional to 3,442.69, 5,155.71 and 3,270.43 is: 4,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.69 : 5,155.71 = 3,270.43 : x
  2. Step 2: Convert to fraction form
    3,442.69/5,155.71 = 3,270.43/x
  3. Step 3: Cross multiply
    3,442.69x = 5,155.71 × 3,270.43
  4. Step 4: Simplify right side
    3,442.69x = 16,861,388.66
  5. Step 5: Solve for x
    x = 16,861,388.66/3,442.69
  6. Step 6: Final answer
    x = 4,897.74

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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.