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Finding the Fourth Proportional to 3,911.57, 5,866.33 and 1,447.10

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Solution

The fourth proportional to 3,911.57, 5,866.33 and 1,447.10 is: 2,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.57 : 5,866.33 = 1,447.10 : x
  2. Step 2: Convert to fraction form
    3,911.57/5,866.33 = 1,447.10/x
  3. Step 3: Cross multiply
    3,911.57x = 5,866.33 × 1,447.10
  4. Step 4: Simplify right side
    3,911.57x = 8,489,166.14
  5. Step 5: Solve for x
    x = 8,489,166.14/3,911.57
  6. Step 6: Final answer
    x = 2,170.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.