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Finding the Fourth Proportional to 3,981.44, 5,496.84 and 2,565.62

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Solution

The fourth proportional to 3,981.44, 5,496.84 and 2,565.62 is: 3,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.44 : 5,496.84 = 2,565.62 : x
  2. Step 2: Convert to fraction form
    3,981.44/5,496.84 = 2,565.62/x
  3. Step 3: Cross multiply
    3,981.44x = 5,496.84 × 2,565.62
  4. Step 4: Simplify right side
    3,981.44x = 14,102,816.38
  5. Step 5: Solve for x
    x = 14,102,816.38/3,981.44
  6. Step 6: Final answer
    x = 3,542.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.