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Finding the Fourth Proportional to 6,267.90, 8,649.43 and 3,748.52

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Solution

The fourth proportional to 6,267.90, 8,649.43 and 3,748.52 is: 5,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.90 : 8,649.43 = 3,748.52 : x
  2. Step 2: Convert to fraction form
    6,267.90/8,649.43 = 3,748.52/x
  3. Step 3: Cross multiply
    6,267.90x = 8,649.43 × 3,748.52
  4. Step 4: Simplify right side
    6,267.90x = 32,422,518.10
  5. Step 5: Solve for x
    x = 32,422,518.10/6,267.90
  6. Step 6: Final answer
    x = 5,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.