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Finding the Fourth Proportional to 4,979.82, 6,872.47 and 2,742.20

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Solution

The fourth proportional to 4,979.82, 6,872.47 and 2,742.20 is: 3,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.82 : 6,872.47 = 2,742.20 : x
  2. Step 2: Convert to fraction form
    4,979.82/6,872.47 = 2,742.20/x
  3. Step 3: Cross multiply
    4,979.82x = 6,872.47 × 2,742.20
  4. Step 4: Simplify right side
    4,979.82x = 18,845,671.79
  5. Step 5: Solve for x
    x = 18,845,671.79/4,979.82
  6. Step 6: Final answer
    x = 3,784.41

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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.