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Finding the Fourth Proportional to 3,790.96, 5,230.65 and 2,218.75

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Solution

The fourth proportional to 3,790.96, 5,230.65 and 2,218.75 is: 3,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.96 : 5,230.65 = 2,218.75 : x
  2. Step 2: Convert to fraction form
    3,790.96/5,230.65 = 2,218.75/x
  3. Step 3: Cross multiply
    3,790.96x = 5,230.65 × 2,218.75
  4. Step 4: Simplify right side
    3,790.96x = 11,605,504.69
  5. Step 5: Solve for x
    x = 11,605,504.69/3,790.96
  6. Step 6: Final answer
    x = 3,061.36

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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.