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Finding the Fourth Proportional to 5,585, 8,380.38 and 2,849

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Solution

The fourth proportional to 5,585, 8,380.38 and 2,849 is: 4,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585 : 8,380.38 = 2,849 : x
  2. Step 2: Convert to fraction form
    5,585/8,380.38 = 2,849/x
  3. Step 3: Cross multiply
    5,585x = 8,380.38 × 2,849
  4. Step 4: Simplify right side
    5,585x = 23,875,702.62
  5. Step 5: Solve for x
    x = 23,875,702.62/5,585
  6. Step 6: Final answer
    x = 4,274.97

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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.