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Finding the Fourth Proportional to 4,185.92, 5,776.50 and 2,322.92

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Solution

The fourth proportional to 4,185.92, 5,776.50 and 2,322.92 is: 3,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.92 : 5,776.50 = 2,322.92 : x
  2. Step 2: Convert to fraction form
    4,185.92/5,776.50 = 2,322.92/x
  3. Step 3: Cross multiply
    4,185.92x = 5,776.50 × 2,322.92
  4. Step 4: Simplify right side
    4,185.92x = 13,418,347.38
  5. Step 5: Solve for x
    x = 13,418,347.38/4,185.92
  6. Step 6: Final answer
    x = 3,205.59

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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.