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Finding the Fourth Proportional to 4,726.82, 7,081 and 3,475.10

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Solution

The fourth proportional to 4,726.82, 7,081 and 3,475.10 is: 5,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.82 : 7,081 = 3,475.10 : x
  2. Step 2: Convert to fraction form
    4,726.82/7,081 = 3,475.10/x
  3. Step 3: Cross multiply
    4,726.82x = 7,081 × 3,475.10
  4. Step 4: Simplify right side
    4,726.82x = 24,607,183.10
  5. Step 5: Solve for x
    x = 24,607,183.10/4,726.82
  6. Step 6: Final answer
    x = 5,205.86

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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.