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Finding the Fourth Proportional to 3,478.44, 5,197.89 and 3,400.68

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Solution

The fourth proportional to 3,478.44, 5,197.89 and 3,400.68 is: 5,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.44 : 5,197.89 = 3,400.68 : x
  2. Step 2: Convert to fraction form
    3,478.44/5,197.89 = 3,400.68/x
  3. Step 3: Cross multiply
    3,478.44x = 5,197.89 × 3,400.68
  4. Step 4: Simplify right side
    3,478.44x = 17,676,360.57
  5. Step 5: Solve for x
    x = 17,676,360.57/3,478.44
  6. Step 6: Final answer
    x = 5,081.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.