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Finding the Fourth Proportional to 3,577.42, 5,366.90 and 1,822.68

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Solution

The fourth proportional to 3,577.42, 5,366.90 and 1,822.68 is: 2,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.42 : 5,366.90 = 1,822.68 : x
  2. Step 2: Convert to fraction form
    3,577.42/5,366.90 = 1,822.68/x
  3. Step 3: Cross multiply
    3,577.42x = 5,366.90 × 1,822.68
  4. Step 4: Simplify right side
    3,577.42x = 9,782,141.29
  5. Step 5: Solve for x
    x = 9,782,141.29/3,577.42
  6. Step 6: Final answer
    x = 2,734.41

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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.