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Finding the Fourth Proportional to 4,938.39, 7,407.78 and 2,163.69

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Solution

The fourth proportional to 4,938.39, 7,407.78 and 2,163.69 is: 3,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.39 : 7,407.78 = 2,163.69 : x
  2. Step 2: Convert to fraction form
    4,938.39/7,407.78 = 2,163.69/x
  3. Step 3: Cross multiply
    4,938.39x = 7,407.78 × 2,163.69
  4. Step 4: Simplify right side
    4,938.39x = 16,028,139.51
  5. Step 5: Solve for x
    x = 16,028,139.51/4,938.39
  6. Step 6: Final answer
    x = 3,245.62

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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.