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Finding the Fourth Proportional to 3,859.92, 5,326.65 and 2,091.52

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Solution

The fourth proportional to 3,859.92, 5,326.65 and 2,091.52 is: 2,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.92 : 5,326.65 = 2,091.52 : x
  2. Step 2: Convert to fraction form
    3,859.92/5,326.65 = 2,091.52/x
  3. Step 3: Cross multiply
    3,859.92x = 5,326.65 × 2,091.52
  4. Step 4: Simplify right side
    3,859.92x = 11,140,795.01
  5. Step 5: Solve for x
    x = 11,140,795.01/3,859.92
  6. Step 6: Final answer
    x = 2,886.28

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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.