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Finding the Fourth Proportional to 4,856.52, 7,282.84 and 2,084.44

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Solution

The fourth proportional to 4,856.52, 7,282.84 and 2,084.44 is: 3,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.52 : 7,282.84 = 2,084.44 : x
  2. Step 2: Convert to fraction form
    4,856.52/7,282.84 = 2,084.44/x
  3. Step 3: Cross multiply
    4,856.52x = 7,282.84 × 2,084.44
  4. Step 4: Simplify right side
    4,856.52x = 15,180,643.01
  5. Step 5: Solve for x
    x = 15,180,643.01/4,856.52
  6. Step 6: Final answer
    x = 3,125.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.