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Finding the Fourth Proportional to 4,796.89, 6,618.31 and 2,780.17

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Solution

The fourth proportional to 4,796.89, 6,618.31 and 2,780.17 is: 3,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.89 : 6,618.31 = 2,780.17 : x
  2. Step 2: Convert to fraction form
    4,796.89/6,618.31 = 2,780.17/x
  3. Step 3: Cross multiply
    4,796.89x = 6,618.31 × 2,780.17
  4. Step 4: Simplify right side
    4,796.89x = 18,400,026.91
  5. Step 5: Solve for x
    x = 18,400,026.91/4,796.89
  6. Step 6: Final answer
    x = 3,835.82

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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.