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Finding the Fourth Proportional to 5,478.17, 8,205.63 and 5,286.35

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Solution

The fourth proportional to 5,478.17, 8,205.63 and 5,286.35 is: 7,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.17 : 8,205.63 = 5,286.35 : x
  2. Step 2: Convert to fraction form
    5,478.17/8,205.63 = 5,286.35/x
  3. Step 3: Cross multiply
    5,478.17x = 8,205.63 × 5,286.35
  4. Step 4: Simplify right side
    5,478.17x = 43,377,832.15
  5. Step 5: Solve for x
    x = 43,377,832.15/5,478.17
  6. Step 6: Final answer
    x = 7,918.31

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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.