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Finding the Fourth Proportional to 5,213.92, 7,818.08 and 2,288.84

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Solution

The fourth proportional to 5,213.92, 7,818.08 and 2,288.84 is: 3,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.92 : 7,818.08 = 2,288.84 : x
  2. Step 2: Convert to fraction form
    5,213.92/7,818.08 = 2,288.84/x
  3. Step 3: Cross multiply
    5,213.92x = 7,818.08 × 2,288.84
  4. Step 4: Simplify right side
    5,213.92x = 17,894,334.23
  5. Step 5: Solve for x
    x = 17,894,334.23/5,213.92
  6. Step 6: Final answer
    x = 3,432.03

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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.