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Finding the Fourth Proportional to 3,155.50, 4,733.86 and 1,424.13

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Solution

The fourth proportional to 3,155.50, 4,733.86 and 1,424.13 is: 2,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.50 : 4,733.86 = 1,424.13 : x
  2. Step 2: Convert to fraction form
    3,155.50/4,733.86 = 1,424.13/x
  3. Step 3: Cross multiply
    3,155.50x = 4,733.86 × 1,424.13
  4. Step 4: Simplify right side
    3,155.50x = 6,741,608.37
  5. Step 5: Solve for x
    x = 6,741,608.37/3,155.50
  6. Step 6: Final answer
    x = 2,136.46

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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.