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Finding the Fourth Proportional to 3,856.20, 5,320.80 and 2,284.80

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Solution

The fourth proportional to 3,856.20, 5,320.80 and 2,284.80 is: 3,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.20 : 5,320.80 = 2,284.80 : x
  2. Step 2: Convert to fraction form
    3,856.20/5,320.80 = 2,284.80/x
  3. Step 3: Cross multiply
    3,856.20x = 5,320.80 × 2,284.80
  4. Step 4: Simplify right side
    3,856.20x = 12,156,963.84
  5. Step 5: Solve for x
    x = 12,156,963.84/3,856.20
  6. Step 6: Final answer
    x = 3,152.58

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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.