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Finding the Fourth Proportional to 3,674.06, 5,538.60 and 3,429.66

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Solution

The fourth proportional to 3,674.06, 5,538.60 and 3,429.66 is: 5,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.06 : 5,538.60 = 3,429.66 : x
  2. Step 2: Convert to fraction form
    3,674.06/5,538.60 = 3,429.66/x
  3. Step 3: Cross multiply
    3,674.06x = 5,538.60 × 3,429.66
  4. Step 4: Simplify right side
    3,674.06x = 18,995,514.88
  5. Step 5: Solve for x
    x = 18,995,514.88/3,674.06
  6. Step 6: Final answer
    x = 5,170.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.