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Finding the Fourth Proportional to 4,873.84, 6,725.40 and 2,884.02

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Solution

The fourth proportional to 4,873.84, 6,725.40 and 2,884.02 is: 3,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.84 : 6,725.40 = 2,884.02 : x
  2. Step 2: Convert to fraction form
    4,873.84/6,725.40 = 2,884.02/x
  3. Step 3: Cross multiply
    4,873.84x = 6,725.40 × 2,884.02
  4. Step 4: Simplify right side
    4,873.84x = 19,396,188.11
  5. Step 5: Solve for x
    x = 19,396,188.11/4,873.84
  6. Step 6: Final answer
    x = 3,979.65

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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.