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Finding the Fourth Proportional to 3,886.38, 5,362.92 and 2,314.14

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Solution

The fourth proportional to 3,886.38, 5,362.92 and 2,314.14 is: 3,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.38 : 5,362.92 = 2,314.14 : x
  2. Step 2: Convert to fraction form
    3,886.38/5,362.92 = 2,314.14/x
  3. Step 3: Cross multiply
    3,886.38x = 5,362.92 × 2,314.14
  4. Step 4: Simplify right side
    3,886.38x = 12,410,547.69
  5. Step 5: Solve for x
    x = 12,410,547.69/3,886.38
  6. Step 6: Final answer
    x = 3,193.34

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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.