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Finding the Fourth Proportional to 3,780.99, 5,216.82 and 2,362.47

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Solution

The fourth proportional to 3,780.99, 5,216.82 and 2,362.47 is: 3,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.99 : 5,216.82 = 2,362.47 : x
  2. Step 2: Convert to fraction form
    3,780.99/5,216.82 = 2,362.47/x
  3. Step 3: Cross multiply
    3,780.99x = 5,216.82 × 2,362.47
  4. Step 4: Simplify right side
    3,780.99x = 12,324,580.75
  5. Step 5: Solve for x
    x = 12,324,580.75/3,780.99
  6. Step 6: Final answer
    x = 3,259.62

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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.