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Finding the Fourth Proportional to 4,791.64, 7,187.70 and 1,504.76

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Solution

The fourth proportional to 4,791.64, 7,187.70 and 1,504.76 is: 2,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.64 : 7,187.70 = 1,504.76 : x
  2. Step 2: Convert to fraction form
    4,791.64/7,187.70 = 1,504.76/x
  3. Step 3: Cross multiply
    4,791.64x = 7,187.70 × 1,504.76
  4. Step 4: Simplify right side
    4,791.64x = 10,815,765.12
  5. Step 5: Solve for x
    x = 10,815,765.12/4,791.64
  6. Step 6: Final answer
    x = 2,257.22

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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.