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Finding the Fourth Proportional to 3,512, 5,269.08 and 1,565.30

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Solution

The fourth proportional to 3,512, 5,269.08 and 1,565.30 is: 2,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512 : 5,269.08 = 1,565.30 : x
  2. Step 2: Convert to fraction form
    3,512/5,269.08 = 1,565.30/x
  3. Step 3: Cross multiply
    3,512x = 5,269.08 × 1,565.30
  4. Step 4: Simplify right side
    3,512x = 8,247,690.92
  5. Step 5: Solve for x
    x = 8,247,690.92/3,512
  6. Step 6: Final answer
    x = 2,348.43

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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.