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Finding the Fourth Proportional to 3,733.50, 5,602.82 and 1,542.22

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Solution

The fourth proportional to 3,733.50, 5,602.82 and 1,542.22 is: 2,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.50 : 5,602.82 = 1,542.22 : x
  2. Step 2: Convert to fraction form
    3,733.50/5,602.82 = 1,542.22/x
  3. Step 3: Cross multiply
    3,733.50x = 5,602.82 × 1,542.22
  4. Step 4: Simplify right side
    3,733.50x = 8,640,781.06
  5. Step 5: Solve for x
    x = 8,640,781.06/3,733.50
  6. Step 6: Final answer
    x = 2,314.39

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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.