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Finding the Fourth Proportional to 3,794.23, 5,235.17 and 2,281.10

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Solution

The fourth proportional to 3,794.23, 5,235.17 and 2,281.10 is: 3,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.23 : 5,235.17 = 2,281.10 : x
  2. Step 2: Convert to fraction form
    3,794.23/5,235.17 = 2,281.10/x
  3. Step 3: Cross multiply
    3,794.23x = 5,235.17 × 2,281.10
  4. Step 4: Simplify right side
    3,794.23x = 11,941,923.43
  5. Step 5: Solve for x
    x = 11,941,923.43/3,794.23
  6. Step 6: Final answer
    x = 3,147.39

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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.