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Finding the Fourth Proportional to 3,762.44, 5,192.21 and 2,083.88

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Solution

The fourth proportional to 3,762.44, 5,192.21 and 2,083.88 is: 2,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.44 : 5,192.21 = 2,083.88 : x
  2. Step 2: Convert to fraction form
    3,762.44/5,192.21 = 2,083.88/x
  3. Step 3: Cross multiply
    3,762.44x = 5,192.21 × 2,083.88
  4. Step 4: Simplify right side
    3,762.44x = 10,819,916.61
  5. Step 5: Solve for x
    x = 10,819,916.61/3,762.44
  6. Step 6: Final answer
    x = 2,875.77

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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.