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Finding the Fourth Proportional to 5,344, 8,018.16 and 2,570.56

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Solution

The fourth proportional to 5,344, 8,018.16 and 2,570.56 is: 3,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344 : 8,018.16 = 2,570.56 : x
  2. Step 2: Convert to fraction form
    5,344/8,018.16 = 2,570.56/x
  3. Step 3: Cross multiply
    5,344x = 8,018.16 × 2,570.56
  4. Step 4: Simplify right side
    5,344x = 20,611,161.37
  5. Step 5: Solve for x
    x = 20,611,161.37/5,344
  6. Step 6: Final answer
    x = 3,856.88

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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.