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Finding the Fourth Proportional to 3,521.46, 4,859.74 and 1,949.70

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Solution

The fourth proportional to 3,521.46, 4,859.74 and 1,949.70 is: 2,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.46 : 4,859.74 = 1,949.70 : x
  2. Step 2: Convert to fraction form
    3,521.46/4,859.74 = 1,949.70/x
  3. Step 3: Cross multiply
    3,521.46x = 4,859.74 × 1,949.70
  4. Step 4: Simplify right side
    3,521.46x = 9,475,035.08
  5. Step 5: Solve for x
    x = 9,475,035.08/3,521.46
  6. Step 6: Final answer
    x = 2,690.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.