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Finding the Fourth Proportional to 6,399.34, 8,832.45 and 4,302.25

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Solution

The fourth proportional to 6,399.34, 8,832.45 and 4,302.25 is: 5,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.34 : 8,832.45 = 4,302.25 : x
  2. Step 2: Convert to fraction form
    6,399.34/8,832.45 = 4,302.25/x
  3. Step 3: Cross multiply
    6,399.34x = 8,832.45 × 4,302.25
  4. Step 4: Simplify right side
    6,399.34x = 37,999,408.01
  5. Step 5: Solve for x
    x = 37,999,408.01/6,399.34
  6. Step 6: Final answer
    x = 5,938.02

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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.