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Finding the Fourth Proportional to 3,767.92, 5,655.54 and 2,309.92

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Solution

The fourth proportional to 3,767.92, 5,655.54 and 2,309.92 is: 3,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.92 : 5,655.54 = 2,309.92 : x
  2. Step 2: Convert to fraction form
    3,767.92/5,655.54 = 2,309.92/x
  3. Step 3: Cross multiply
    3,767.92x = 5,655.54 × 2,309.92
  4. Step 4: Simplify right side
    3,767.92x = 13,063,844.96
  5. Step 5: Solve for x
    x = 13,063,844.96/3,767.92
  6. Step 6: Final answer
    x = 3,467.12

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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.