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Finding the Fourth Proportional to 4,609.78, 6,898.22 and 3,691.24

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Solution

The fourth proportional to 4,609.78, 6,898.22 and 3,691.24 is: 5,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.78 : 6,898.22 = 3,691.24 : x
  2. Step 2: Convert to fraction form
    4,609.78/6,898.22 = 3,691.24/x
  3. Step 3: Cross multiply
    4,609.78x = 6,898.22 × 3,691.24
  4. Step 4: Simplify right side
    4,609.78x = 25,462,985.59
  5. Step 5: Solve for x
    x = 25,462,985.59/4,609.78
  6. Step 6: Final answer
    x = 5,523.69

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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.