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Finding the Fourth Proportional to 3,523, 5,282.92 and 1,879.16

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Solution

The fourth proportional to 3,523, 5,282.92 and 1,879.16 is: 2,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523 : 5,282.92 = 1,879.16 : x
  2. Step 2: Convert to fraction form
    3,523/5,282.92 = 1,879.16/x
  3. Step 3: Cross multiply
    3,523x = 5,282.92 × 1,879.16
  4. Step 4: Simplify right side
    3,523x = 9,927,451.95
  5. Step 5: Solve for x
    x = 9,927,451.95/3,523
  6. Step 6: Final answer
    x = 2,817.90

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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.