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Finding the Fourth Proportional to 3,762.29, 5,191.81 and 2,083.76

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Solution

The fourth proportional to 3,762.29, 5,191.81 and 2,083.76 is: 2,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.29 : 5,191.81 = 2,083.76 : x
  2. Step 2: Convert to fraction form
    3,762.29/5,191.81 = 2,083.76/x
  3. Step 3: Cross multiply
    3,762.29x = 5,191.81 × 2,083.76
  4. Step 4: Simplify right side
    3,762.29x = 10,818,515.23
  5. Step 5: Solve for x
    x = 10,818,515.23/3,762.29
  6. Step 6: Final answer
    x = 2,875.52

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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.