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Finding the Fourth Proportional to 5,468.90, 8,193.90 and 2,541.20

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Solution

The fourth proportional to 5,468.90, 8,193.90 and 2,541.20 is: 3,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.90 : 8,193.90 = 2,541.20 : x
  2. Step 2: Convert to fraction form
    5,468.90/8,193.90 = 2,541.20/x
  3. Step 3: Cross multiply
    5,468.90x = 8,193.90 × 2,541.20
  4. Step 4: Simplify right side
    5,468.90x = 20,822,338.68
  5. Step 5: Solve for x
    x = 20,822,338.68/5,468.90
  6. Step 6: Final answer
    x = 3,807.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.