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Finding the Fourth Proportional to 3,138.49, 4,325.49 and 2,577.16

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Solution

The fourth proportional to 3,138.49, 4,325.49 and 2,577.16 is: 3,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.49 : 4,325.49 = 2,577.16 : x
  2. Step 2: Convert to fraction form
    3,138.49/4,325.49 = 2,577.16/x
  3. Step 3: Cross multiply
    3,138.49x = 4,325.49 × 2,577.16
  4. Step 4: Simplify right side
    3,138.49x = 11,147,458.18
  5. Step 5: Solve for x
    x = 11,147,458.18/3,138.49
  6. Step 6: Final answer
    x = 3,551.86

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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.