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Finding the Fourth Proportional to 2,856.88, 4,283.64 and 2,532.88

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Solution

The fourth proportional to 2,856.88, 4,283.64 and 2,532.88 is: 3,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.88 : 4,283.64 = 2,532.88 : x
  2. Step 2: Convert to fraction form
    2,856.88/4,283.64 = 2,532.88/x
  3. Step 3: Cross multiply
    2,856.88x = 4,283.64 × 2,532.88
  4. Step 4: Simplify right side
    2,856.88x = 10,849,946.08
  5. Step 5: Solve for x
    x = 10,849,946.08/2,856.88
  6. Step 6: Final answer
    x = 3,797.83

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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.