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Finding the Fourth Proportional to 3,762.34, 5,191.95 and 2,083.69

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Solution

The fourth proportional to 3,762.34, 5,191.95 and 2,083.69 is: 2,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.34 : 5,191.95 = 2,083.69 : x
  2. Step 2: Convert to fraction form
    3,762.34/5,191.95 = 2,083.69/x
  3. Step 3: Cross multiply
    3,762.34x = 5,191.95 × 2,083.69
  4. Step 4: Simplify right side
    3,762.34x = 10,818,414.30
  5. Step 5: Solve for x
    x = 10,818,414.30/3,762.34
  6. Step 6: Final answer
    x = 2,875.45

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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.