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Finding the Fourth Proportional to 3,815.92, 5,266.04 and 2,323.92

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Solution

The fourth proportional to 3,815.92, 5,266.04 and 2,323.92 is: 3,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.92 : 5,266.04 = 2,323.92 : x
  2. Step 2: Convert to fraction form
    3,815.92/5,266.04 = 2,323.92/x
  3. Step 3: Cross multiply
    3,815.92x = 5,266.04 × 2,323.92
  4. Step 4: Simplify right side
    3,815.92x = 12,237,855.68
  5. Step 5: Solve for x
    x = 12,237,855.68/3,815.92
  6. Step 6: Final answer
    x = 3,207.05

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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.