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Finding the Fourth Proportional to 4,937.91, 7,404.09 and 1,649.22

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Solution

The fourth proportional to 4,937.91, 7,404.09 and 1,649.22 is: 2,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.91 : 7,404.09 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    4,937.91/7,404.09 = 1,649.22/x
  3. Step 3: Cross multiply
    4,937.91x = 7,404.09 × 1,649.22
  4. Step 4: Simplify right side
    4,937.91x = 12,210,973.31
  5. Step 5: Solve for x
    x = 12,210,973.31/4,937.91
  6. Step 6: Final answer
    x = 2,472.90

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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.