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Finding the Fourth Proportional to 5,141.82, 7,712.73 and 4,001.34

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Solution

The fourth proportional to 5,141.82, 7,712.73 and 4,001.34 is: 6,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.82 : 7,712.73 = 4,001.34 : x
  2. Step 2: Convert to fraction form
    5,141.82/7,712.73 = 4,001.34/x
  3. Step 3: Cross multiply
    5,141.82x = 7,712.73 × 4,001.34
  4. Step 4: Simplify right side
    5,141.82x = 30,861,255.06
  5. Step 5: Solve for x
    x = 30,861,255.06/5,141.82
  6. Step 6: Final answer
    x = 6,002.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.