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Finding the Fourth Proportional to 3,789, 5,228.01 and 2,296.62

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Solution

The fourth proportional to 3,789, 5,228.01 and 2,296.62 is: 3,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789 : 5,228.01 = 2,296.62 : x
  2. Step 2: Convert to fraction form
    3,789/5,228.01 = 2,296.62/x
  3. Step 3: Cross multiply
    3,789x = 5,228.01 × 2,296.62
  4. Step 4: Simplify right side
    3,789x = 12,006,752.33
  5. Step 5: Solve for x
    x = 12,006,752.33/3,789
  6. Step 6: Final answer
    x = 3,168.84

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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.