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Finding the Fourth Proportional to 3,578.74, 5,369.40 and 1,604.20

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Solution

The fourth proportional to 3,578.74, 5,369.40 and 1,604.20 is: 2,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.74 : 5,369.40 = 1,604.20 : x
  2. Step 2: Convert to fraction form
    3,578.74/5,369.40 = 1,604.20/x
  3. Step 3: Cross multiply
    3,578.74x = 5,369.40 × 1,604.20
  4. Step 4: Simplify right side
    3,578.74x = 8,613,591.48
  5. Step 5: Solve for x
    x = 8,613,591.48/3,578.74
  6. Step 6: Final answer
    x = 2,406.88

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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.