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Finding the Fourth Proportional to 5,363.49, 8,044 and 1,468.20

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Solution

The fourth proportional to 5,363.49, 8,044 and 1,468.20 is: 2,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.49 : 8,044 = 1,468.20 : x
  2. Step 2: Convert to fraction form
    5,363.49/8,044 = 1,468.20/x
  3. Step 3: Cross multiply
    5,363.49x = 8,044 × 1,468.20
  4. Step 4: Simplify right side
    5,363.49x = 11,810,200.80
  5. Step 5: Solve for x
    x = 11,810,200.80/5,363.49
  6. Step 6: Final answer
    x = 2,201.96

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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.