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Finding the Fourth Proportional to 4,982.92, 6,874.92 and 2,886.64

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Solution

The fourth proportional to 4,982.92, 6,874.92 and 2,886.64 is: 3,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.92 : 6,874.92 = 2,886.64 : x
  2. Step 2: Convert to fraction form
    4,982.92/6,874.92 = 2,886.64/x
  3. Step 3: Cross multiply
    4,982.92x = 6,874.92 × 2,886.64
  4. Step 4: Simplify right side
    4,982.92x = 19,845,419.07
  5. Step 5: Solve for x
    x = 19,845,419.07/4,982.92
  6. Step 6: Final answer
    x = 3,982.69

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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.