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Finding the Fourth Proportional to 6,402.42, 9,604.44 and 2,019.24

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Solution

The fourth proportional to 6,402.42, 9,604.44 and 2,019.24 is: 3,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.42 : 9,604.44 = 2,019.24 : x
  2. Step 2: Convert to fraction form
    6,402.42/9,604.44 = 2,019.24/x
  3. Step 3: Cross multiply
    6,402.42x = 9,604.44 × 2,019.24
  4. Step 4: Simplify right side
    6,402.42x = 19,393,669.43
  5. Step 5: Solve for x
    x = 19,393,669.43/6,402.42
  6. Step 6: Final answer
    x = 3,029.12

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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.