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Finding the Fourth Proportional to 3,577.80, 5,367.24 and 1,388.10

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Solution

The fourth proportional to 3,577.80, 5,367.24 and 1,388.10 is: 2,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.80 : 5,367.24 = 1,388.10 : x
  2. Step 2: Convert to fraction form
    3,577.80/5,367.24 = 1,388.10/x
  3. Step 3: Cross multiply
    3,577.80x = 5,367.24 × 1,388.10
  4. Step 4: Simplify right side
    3,577.80x = 7,450,265.84
  5. Step 5: Solve for x
    x = 7,450,265.84/3,577.80
  6. Step 6: Final answer
    x = 2,082.36

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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.