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Finding the Fourth Proportional to 3,886.07, 5,362.79 and 2,117.66

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Solution

The fourth proportional to 3,886.07, 5,362.79 and 2,117.66 is: 2,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.07 : 5,362.79 = 2,117.66 : x
  2. Step 2: Convert to fraction form
    3,886.07/5,362.79 = 2,117.66/x
  3. Step 3: Cross multiply
    3,886.07x = 5,362.79 × 2,117.66
  4. Step 4: Simplify right side
    3,886.07x = 11,356,565.87
  5. Step 5: Solve for x
    x = 11,356,565.87/3,886.07
  6. Step 6: Final answer
    x = 2,922.38

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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.