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Finding the Fourth Proportional to 6,404.54, 9,606.69 and 2,892.02

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Solution

The fourth proportional to 6,404.54, 9,606.69 and 2,892.02 is: 4,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.54 : 9,606.69 = 2,892.02 : x
  2. Step 2: Convert to fraction form
    6,404.54/9,606.69 = 2,892.02/x
  3. Step 3: Cross multiply
    6,404.54x = 9,606.69 × 2,892.02
  4. Step 4: Simplify right side
    6,404.54x = 27,782,691.58
  5. Step 5: Solve for x
    x = 27,782,691.58/6,404.54
  6. Step 6: Final answer
    x = 4,337.97

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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.