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Finding the Fourth Proportional to 3,981.69, 5,475.06 and 3,538.80

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Solution

The fourth proportional to 3,981.69, 5,475.06 and 3,538.80 is: 4,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.69 : 5,475.06 = 3,538.80 : x
  2. Step 2: Convert to fraction form
    3,981.69/5,475.06 = 3,538.80/x
  3. Step 3: Cross multiply
    3,981.69x = 5,475.06 × 3,538.80
  4. Step 4: Simplify right side
    3,981.69x = 19,375,142.33
  5. Step 5: Solve for x
    x = 19,375,142.33/3,981.69
  6. Step 6: Final answer
    x = 4,866.06

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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.