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Finding the Fourth Proportional to 6,103.39, 8,422.63 and 3,451.32

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Solution

The fourth proportional to 6,103.39, 8,422.63 and 3,451.32 is: 4,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.39 : 8,422.63 = 3,451.32 : x
  2. Step 2: Convert to fraction form
    6,103.39/8,422.63 = 3,451.32/x
  3. Step 3: Cross multiply
    6,103.39x = 8,422.63 × 3,451.32
  4. Step 4: Simplify right side
    6,103.39x = 29,069,191.37
  5. Step 5: Solve for x
    x = 29,069,191.37/6,103.39
  6. Step 6: Final answer
    x = 4,762.79

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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.