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Finding the Fourth Proportional to 4,063.50, 6,099.21 and 2,743.02

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Solution

The fourth proportional to 4,063.50, 6,099.21 and 2,743.02 is: 4,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.50 : 6,099.21 = 2,743.02 : x
  2. Step 2: Convert to fraction form
    4,063.50/6,099.21 = 2,743.02/x
  3. Step 3: Cross multiply
    4,063.50x = 6,099.21 × 2,743.02
  4. Step 4: Simplify right side
    4,063.50x = 16,730,255.01
  5. Step 5: Solve for x
    x = 16,730,255.01/4,063.50
  6. Step 6: Final answer
    x = 4,117.20

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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.