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Finding the Fourth Proportional to 4,791.76, 7,189.43 and 2,158.47

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Solution

The fourth proportional to 4,791.76, 7,189.43 and 2,158.47 is: 3,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.76 : 7,189.43 = 2,158.47 : x
  2. Step 2: Convert to fraction form
    4,791.76/7,189.43 = 2,158.47/x
  3. Step 3: Cross multiply
    4,791.76x = 7,189.43 × 2,158.47
  4. Step 4: Simplify right side
    4,791.76x = 15,518,158.18
  5. Step 5: Solve for x
    x = 15,518,158.18/4,791.76
  6. Step 6: Final answer
    x = 3,238.51

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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.