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Finding the Fourth Proportional to 3,662.52, 5,479.96 and 2,569

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Solution

The fourth proportional to 3,662.52, 5,479.96 and 2,569 is: 3,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.52 : 5,479.96 = 2,569 : x
  2. Step 2: Convert to fraction form
    3,662.52/5,479.96 = 2,569/x
  3. Step 3: Cross multiply
    3,662.52x = 5,479.96 × 2,569
  4. Step 4: Simplify right side
    3,662.52x = 14,078,017.24
  5. Step 5: Solve for x
    x = 14,078,017.24/3,662.52
  6. Step 6: Final answer
    x = 3,843.81

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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.