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Finding the Fourth Proportional to 8,033, 12,048.69 and 3,649.28

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Solution

The fourth proportional to 8,033, 12,048.69 and 3,649.28 is: 5,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033 : 12,048.69 = 3,649.28 : x
  2. Step 2: Convert to fraction form
    8,033/12,048.69 = 3,649.28/x
  3. Step 3: Cross multiply
    8,033x = 12,048.69 × 3,649.28
  4. Step 4: Simplify right side
    8,033x = 43,969,043.44
  5. Step 5: Solve for x
    x = 43,969,043.44/8,033
  6. Step 6: Final answer
    x = 5,473.55

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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.