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Finding the Fourth Proportional to 5,468.45, 8,157.22 and 5,378.15

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Solution

The fourth proportional to 5,468.45, 8,157.22 and 5,378.15 is: 8,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.45 : 8,157.22 = 5,378.15 : x
  2. Step 2: Convert to fraction form
    5,468.45/8,157.22 = 5,378.15/x
  3. Step 3: Cross multiply
    5,468.45x = 8,157.22 × 5,378.15
  4. Step 4: Simplify right side
    5,468.45x = 43,870,730.16
  5. Step 5: Solve for x
    x = 43,870,730.16/5,468.45
  6. Step 6: Final answer
    x = 8,022.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.