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Finding the Fourth Proportional to 4,611.42, 6,919.83 and 1,689.93

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Solution

The fourth proportional to 4,611.42, 6,919.83 and 1,689.93 is: 2,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.42 : 6,919.83 = 1,689.93 : x
  2. Step 2: Convert to fraction form
    4,611.42/6,919.83 = 1,689.93/x
  3. Step 3: Cross multiply
    4,611.42x = 6,919.83 × 1,689.93
  4. Step 4: Simplify right side
    4,611.42x = 11,694,028.31
  5. Step 5: Solve for x
    x = 11,694,028.31/4,611.42
  6. Step 6: Final answer
    x = 2,535.88

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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.