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Finding the Fourth Proportional to 4,186, 5,776.86 and 2,323

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Solution

The fourth proportional to 4,186, 5,776.86 and 2,323 is: 3,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 5,776.86 = 2,323 : x
  2. Step 2: Convert to fraction form
    4,186/5,776.86 = 2,323/x
  3. Step 3: Cross multiply
    4,186x = 5,776.86 × 2,323
  4. Step 4: Simplify right side
    4,186x = 13,419,645.78
  5. Step 5: Solve for x
    x = 13,419,645.78/4,186
  6. Step 6: Final answer
    x = 3,205.84

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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.