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Finding the Fourth Proportional to 5,438.56, 8,153.71 and 2,803.22

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Solution

The fourth proportional to 5,438.56, 8,153.71 and 2,803.22 is: 4,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.56 : 8,153.71 = 2,803.22 : x
  2. Step 2: Convert to fraction form
    5,438.56/8,153.71 = 2,803.22/x
  3. Step 3: Cross multiply
    5,438.56x = 8,153.71 × 2,803.22
  4. Step 4: Simplify right side
    5,438.56x = 22,856,656.32
  5. Step 5: Solve for x
    x = 22,856,656.32/5,438.56
  6. Step 6: Final answer
    x = 4,202.71

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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.