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Finding the Fourth Proportional to 3,783.06, 5,219.82 and 2,385

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Solution

The fourth proportional to 3,783.06, 5,219.82 and 2,385 is: 3,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.06 : 5,219.82 = 2,385 : x
  2. Step 2: Convert to fraction form
    3,783.06/5,219.82 = 2,385/x
  3. Step 3: Cross multiply
    3,783.06x = 5,219.82 × 2,385
  4. Step 4: Simplify right side
    3,783.06x = 12,449,270.70
  5. Step 5: Solve for x
    x = 12,449,270.70/3,783.06
  6. Step 6: Final answer
    x = 3,290.79

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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.