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Finding the Fourth Proportional to 3,762.69, 5,192.34 and 2,083.98

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Solution

The fourth proportional to 3,762.69, 5,192.34 and 2,083.98 is: 2,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.69 : 5,192.34 = 2,083.98 : x
  2. Step 2: Convert to fraction form
    3,762.69/5,192.34 = 2,083.98/x
  3. Step 3: Cross multiply
    3,762.69x = 5,192.34 × 2,083.98
  4. Step 4: Simplify right side
    3,762.69x = 10,820,732.71
  5. Step 5: Solve for x
    x = 10,820,732.71/3,762.69
  6. Step 6: Final answer
    x = 2,875.80

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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.