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Finding the Fourth Proportional to 4,611.26, 6,919.32 and 2,011.16

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Solution

The fourth proportional to 4,611.26, 6,919.32 and 2,011.16 is: 3,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.26 : 6,919.32 = 2,011.16 : x
  2. Step 2: Convert to fraction form
    4,611.26/6,919.32 = 2,011.16/x
  3. Step 3: Cross multiply
    4,611.26x = 6,919.32 × 2,011.16
  4. Step 4: Simplify right side
    4,611.26x = 13,915,859.61
  5. Step 5: Solve for x
    x = 13,915,859.61/4,611.26
  6. Step 6: Final answer
    x = 3,017.80

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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.