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Finding the Fourth Proportional to 4,602.97, 6,891.63 and 3,938.67

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Solution

The fourth proportional to 4,602.97, 6,891.63 and 3,938.67 is: 5,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.97 : 6,891.63 = 3,938.67 : x
  2. Step 2: Convert to fraction form
    4,602.97/6,891.63 = 3,938.67/x
  3. Step 3: Cross multiply
    4,602.97x = 6,891.63 × 3,938.67
  4. Step 4: Simplify right side
    4,602.97x = 27,143,856.33
  5. Step 5: Solve for x
    x = 27,143,856.33/4,602.97
  6. Step 6: Final answer
    x = 5,897.03

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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.