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Finding the Fourth Proportional to 5,066.96, 6,996.36 and 3,886.16

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Solution

The fourth proportional to 5,066.96, 6,996.36 and 3,886.16 is: 5,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.96 : 6,996.36 = 3,886.16 : x
  2. Step 2: Convert to fraction form
    5,066.96/6,996.36 = 3,886.16/x
  3. Step 3: Cross multiply
    5,066.96x = 6,996.36 × 3,886.16
  4. Step 4: Simplify right side
    5,066.96x = 27,188,974.38
  5. Step 5: Solve for x
    x = 27,188,974.38/5,066.96
  6. Step 6: Final answer
    x = 5,365.93

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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.