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Finding the Fourth Proportional to 3,706.68, 5,561.16 and 1,974

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Solution

The fourth proportional to 3,706.68, 5,561.16 and 1,974 is: 2,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.68 : 5,561.16 = 1,974 : x
  2. Step 2: Convert to fraction form
    3,706.68/5,561.16 = 1,974/x
  3. Step 3: Cross multiply
    3,706.68x = 5,561.16 × 1,974
  4. Step 4: Simplify right side
    3,706.68x = 10,977,729.84
  5. Step 5: Solve for x
    x = 10,977,729.84/3,706.68
  6. Step 6: Final answer
    x = 2,961.61

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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.