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Finding the Fourth Proportional to 4,517.77, 6,235.10 and 2,749.27

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Solution

The fourth proportional to 4,517.77, 6,235.10 and 2,749.27 is: 3,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.77 : 6,235.10 = 2,749.27 : x
  2. Step 2: Convert to fraction form
    4,517.77/6,235.10 = 2,749.27/x
  3. Step 3: Cross multiply
    4,517.77x = 6,235.10 × 2,749.27
  4. Step 4: Simplify right side
    4,517.77x = 17,141,973.38
  5. Step 5: Solve for x
    x = 17,141,973.38/4,517.77
  6. Step 6: Final answer
    x = 3,794.34

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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.