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Finding the Fourth Proportional to 4,498.39, 6,213.84 and 4,079.22

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Solution

The fourth proportional to 4,498.39, 6,213.84 and 4,079.22 is: 5,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.39 : 6,213.84 = 4,079.22 : x
  2. Step 2: Convert to fraction form
    4,498.39/6,213.84 = 4,079.22/x
  3. Step 3: Cross multiply
    4,498.39x = 6,213.84 × 4,079.22
  4. Step 4: Simplify right side
    4,498.39x = 25,347,581.81
  5. Step 5: Solve for x
    x = 25,347,581.81/4,498.39
  6. Step 6: Final answer
    x = 5,634.81

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