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Finding the Fourth Proportional to 3,820.71, 5,272.77 and 2,328.39

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Solution

The fourth proportional to 3,820.71, 5,272.77 and 2,328.39 is: 3,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.71 : 5,272.77 = 2,328.39 : x
  2. Step 2: Convert to fraction form
    3,820.71/5,272.77 = 2,328.39/x
  3. Step 3: Cross multiply
    3,820.71x = 5,272.77 × 2,328.39
  4. Step 4: Simplify right side
    3,820.71x = 12,277,064.94
  5. Step 5: Solve for x
    x = 12,277,064.94/3,820.71
  6. Step 6: Final answer
    x = 3,213.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.