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Finding the Fourth Proportional to 4,611.83, 6,918.41 and 1,491.23

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Solution

The fourth proportional to 4,611.83, 6,918.41 and 1,491.23 is: 2,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.83 : 6,918.41 = 1,491.23 : x
  2. Step 2: Convert to fraction form
    4,611.83/6,918.41 = 1,491.23/x
  3. Step 3: Cross multiply
    4,611.83x = 6,918.41 × 1,491.23
  4. Step 4: Simplify right side
    4,611.83x = 10,316,961.57
  5. Step 5: Solve for x
    x = 10,316,961.57/4,611.83
  6. Step 6: Final answer
    x = 2,237.07

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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.