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Finding the Fourth Proportional to 3,521.66, 4,859.76 and 1,949.78

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Solution

The fourth proportional to 3,521.66, 4,859.76 and 1,949.78 is: 2,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.66 : 4,859.76 = 1,949.78 : x
  2. Step 2: Convert to fraction form
    3,521.66/4,859.76 = 1,949.78/x
  3. Step 3: Cross multiply
    3,521.66x = 4,859.76 × 1,949.78
  4. Step 4: Simplify right side
    3,521.66x = 9,475,462.85
  5. Step 5: Solve for x
    x = 9,475,462.85/3,521.66
  6. Step 6: Final answer
    x = 2,690.62

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1.5x scale

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.