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Finding the Fourth Proportional to 3,981.44, 5,493.44 and 2,584

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Solution

The fourth proportional to 3,981.44, 5,493.44 and 2,584 is: 3,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.44 : 5,493.44 = 2,584 : x
  2. Step 2: Convert to fraction form
    3,981.44/5,493.44 = 2,584/x
  3. Step 3: Cross multiply
    3,981.44x = 5,493.44 × 2,584
  4. Step 4: Simplify right side
    3,981.44x = 14,195,048.96
  5. Step 5: Solve for x
    x = 14,195,048.96/3,981.44
  6. Step 6: Final answer
    x = 3,565.31

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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.