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Finding the Fourth Proportional to 5,348.88, 8,019.81 and 1,649.88

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Solution

The fourth proportional to 5,348.88, 8,019.81 and 1,649.88 is: 2,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.88 : 8,019.81 = 1,649.88 : x
  2. Step 2: Convert to fraction form
    5,348.88/8,019.81 = 1,649.88/x
  3. Step 3: Cross multiply
    5,348.88x = 8,019.81 × 1,649.88
  4. Step 4: Simplify right side
    5,348.88x = 13,231,724.12
  5. Step 5: Solve for x
    x = 13,231,724.12/5,348.88
  6. Step 6: Final answer
    x = 2,473.74

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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.