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Finding the Fourth Proportional to 3,762.46, 5,192.08 and 2,083.80

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Solution

The fourth proportional to 3,762.46, 5,192.08 and 2,083.80 is: 2,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.46 : 5,192.08 = 2,083.80 : x
  2. Step 2: Convert to fraction form
    3,762.46/5,192.08 = 2,083.80/x
  3. Step 3: Cross multiply
    3,762.46x = 5,192.08 × 2,083.80
  4. Step 4: Simplify right side
    3,762.46x = 10,819,256.30
  5. Step 5: Solve for x
    x = 10,819,256.30/3,762.46
  6. Step 6: Final answer
    x = 2,875.58

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