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Finding the Fourth Proportional to 4,099.43, 5,657.11 and 2,421.02

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Solution

The fourth proportional to 4,099.43, 5,657.11 and 2,421.02 is: 3,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.43 : 5,657.11 = 2,421.02 : x
  2. Step 2: Convert to fraction form
    4,099.43/5,657.11 = 2,421.02/x
  3. Step 3: Cross multiply
    4,099.43x = 5,657.11 × 2,421.02
  4. Step 4: Simplify right side
    4,099.43x = 13,695,984.54
  5. Step 5: Solve for x
    x = 13,695,984.54/4,099.43
  6. Step 6: Final answer
    x = 3,340.95

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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.