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Finding the Fourth Proportional to 3,584.59, 5,377.69 and 1,244.63

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Solution

The fourth proportional to 3,584.59, 5,377.69 and 1,244.63 is: 1,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.59 : 5,377.69 = 1,244.63 : x
  2. Step 2: Convert to fraction form
    3,584.59/5,377.69 = 1,244.63/x
  3. Step 3: Cross multiply
    3,584.59x = 5,377.69 × 1,244.63
  4. Step 4: Simplify right side
    3,584.59x = 6,693,234.30
  5. Step 5: Solve for x
    x = 6,693,234.30/3,584.59
  6. Step 6: Final answer
    x = 1,867.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.