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Finding the Fourth Proportional to 3,886.82, 5,362.35 and 2,490.38

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Solution

The fourth proportional to 3,886.82, 5,362.35 and 2,490.38 is: 3,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.82 : 5,362.35 = 2,490.38 : x
  2. Step 2: Convert to fraction form
    3,886.82/5,362.35 = 2,490.38/x
  3. Step 3: Cross multiply
    3,886.82x = 5,362.35 × 2,490.38
  4. Step 4: Simplify right side
    3,886.82x = 13,354,262.38
  5. Step 5: Solve for x
    x = 13,354,262.38/3,886.82
  6. Step 6: Final answer
    x = 3,435.79

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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.