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Finding the Fourth Proportional to 4,251, 6,365.07 and 2,399.34

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Solution

The fourth proportional to 4,251, 6,365.07 and 2,399.34 is: 3,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251 : 6,365.07 = 2,399.34 : x
  2. Step 2: Convert to fraction form
    4,251/6,365.07 = 2,399.34/x
  3. Step 3: Cross multiply
    4,251x = 6,365.07 × 2,399.34
  4. Step 4: Simplify right side
    4,251x = 15,271,967.05
  5. Step 5: Solve for x
    x = 15,271,967.05/4,251
  6. Step 6: Final answer
    x = 3,592.56

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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.