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Finding the Fourth Proportional to 3,762.47, 5,192.13 and 2,083.83

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Solution

The fourth proportional to 3,762.47, 5,192.13 and 2,083.83 is: 2,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.47 : 5,192.13 = 2,083.83 : x
  2. Step 2: Convert to fraction form
    3,762.47/5,192.13 = 2,083.83/x
  3. Step 3: Cross multiply
    3,762.47x = 5,192.13 × 2,083.83
  4. Step 4: Simplify right side
    3,762.47x = 10,819,516.26
  5. Step 5: Solve for x
    x = 10,819,516.26/3,762.47
  6. Step 6: Final answer
    x = 2,875.65

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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.