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Finding the Fourth Proportional to 3,852.03, 5,314.11 and 2,257.87

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Solution

The fourth proportional to 3,852.03, 5,314.11 and 2,257.87 is: 3,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.03 : 5,314.11 = 2,257.87 : x
  2. Step 2: Convert to fraction form
    3,852.03/5,314.11 = 2,257.87/x
  3. Step 3: Cross multiply
    3,852.03x = 5,314.11 × 2,257.87
  4. Step 4: Simplify right side
    3,852.03x = 11,998,578.16
  5. Step 5: Solve for x
    x = 11,998,578.16/3,852.03
  6. Step 6: Final answer
    x = 3,114.87

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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.