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Finding the Fourth Proportional to 5,491.48, 8,239.02 and 2,029

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Solution

The fourth proportional to 5,491.48, 8,239.02 and 2,029 is: 3,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.48 : 8,239.02 = 2,029 : x
  2. Step 2: Convert to fraction form
    5,491.48/8,239.02 = 2,029/x
  3. Step 3: Cross multiply
    5,491.48x = 8,239.02 × 2,029
  4. Step 4: Simplify right side
    5,491.48x = 16,716,971.58
  5. Step 5: Solve for x
    x = 16,716,971.58/5,491.48
  6. Step 6: Final answer
    x = 3,044.17

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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.