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Finding the Fourth Proportional to 3,814.77, 5,721.08 and 1,348.86

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Solution

The fourth proportional to 3,814.77, 5,721.08 and 1,348.86 is: 2,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.77 : 5,721.08 = 1,348.86 : x
  2. Step 2: Convert to fraction form
    3,814.77/5,721.08 = 1,348.86/x
  3. Step 3: Cross multiply
    3,814.77x = 5,721.08 × 1,348.86
  4. Step 4: Simplify right side
    3,814.77x = 7,716,929.22
  5. Step 5: Solve for x
    x = 7,716,929.22/3,814.77
  6. Step 6: Final answer
    x = 2,022.91

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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.