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Finding the Fourth Proportional to 3,521.74, 4,859.78 and 1,949.87

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Solution

The fourth proportional to 3,521.74, 4,859.78 and 1,949.87 is: 2,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.74 : 4,859.78 = 1,949.87 : x
  2. Step 2: Convert to fraction form
    3,521.74/4,859.78 = 1,949.87/x
  3. Step 3: Cross multiply
    3,521.74x = 4,859.78 × 1,949.87
  4. Step 4: Simplify right side
    3,521.74x = 9,475,939.23
  5. Step 5: Solve for x
    x = 9,475,939.23/3,521.74
  6. Step 6: Final answer
    x = 2,690.70

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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.