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Finding the Fourth Proportional to 4,842.49, 6,680.17 and 3,164.88

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Solution

The fourth proportional to 4,842.49, 6,680.17 and 3,164.88 is: 4,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.49 : 6,680.17 = 3,164.88 : x
  2. Step 2: Convert to fraction form
    4,842.49/6,680.17 = 3,164.88/x
  3. Step 3: Cross multiply
    4,842.49x = 6,680.17 × 3,164.88
  4. Step 4: Simplify right side
    4,842.49x = 21,141,887.20
  5. Step 5: Solve for x
    x = 21,141,887.20/4,842.49
  6. Step 6: Final answer
    x = 4,365.91

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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.