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Finding the Fourth Proportional to 6,408.02, 8,843.38 and 3,575.46

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Solution

The fourth proportional to 6,408.02, 8,843.38 and 3,575.46 is: 4,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.02 : 8,843.38 = 3,575.46 : x
  2. Step 2: Convert to fraction form
    6,408.02/8,843.38 = 3,575.46/x
  3. Step 3: Cross multiply
    6,408.02x = 8,843.38 × 3,575.46
  4. Step 4: Simplify right side
    6,408.02x = 31,619,151.45
  5. Step 5: Solve for x
    x = 31,619,151.45/6,408.02
  6. Step 6: Final answer
    x = 4,934.31

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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.