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Finding the Fourth Proportional to 6,555.57, 9,046.38 and 3,722.57

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Solution

The fourth proportional to 6,555.57, 9,046.38 and 3,722.57 is: 5,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.57 : 9,046.38 = 3,722.57 : x
  2. Step 2: Convert to fraction form
    6,555.57/9,046.38 = 3,722.57/x
  3. Step 3: Cross multiply
    6,555.57x = 9,046.38 × 3,722.57
  4. Step 4: Simplify right side
    6,555.57x = 33,675,805.41
  5. Step 5: Solve for x
    x = 33,675,805.41/6,555.57
  6. Step 6: Final answer
    x = 5,136.98

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Why These Related Problems?

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