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Finding the Fourth Proportional to 3,762.20, 5,192.07 and 2,083.52

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Solution

The fourth proportional to 3,762.20, 5,192.07 and 2,083.52 is: 2,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.20 : 5,192.07 = 2,083.52 : x
  2. Step 2: Convert to fraction form
    3,762.20/5,192.07 = 2,083.52/x
  3. Step 3: Cross multiply
    3,762.20x = 5,192.07 × 2,083.52
  4. Step 4: Simplify right side
    3,762.20x = 10,817,781.69
  5. Step 5: Solve for x
    x = 10,817,781.69/3,762.20
  6. Step 6: Final answer
    x = 2,875.39

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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.