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Finding the Fourth Proportional to 5,334.05, 8,001 and 2,410.31

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Solution

The fourth proportional to 5,334.05, 8,001 and 2,410.31 is: 3,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.05 : 8,001 = 2,410.31 : x
  2. Step 2: Convert to fraction form
    5,334.05/8,001 = 2,410.31/x
  3. Step 3: Cross multiply
    5,334.05x = 8,001 × 2,410.31
  4. Step 4: Simplify right side
    5,334.05x = 19,284,850.31
  5. Step 5: Solve for x
    x = 19,284,850.31/5,334.05
  6. Step 6: Final answer
    x = 3,615.43

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Why These Related Problems?

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