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Finding the Fourth Proportional to 5,362.08, 8,046.24 and 2,284

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Solution

The fourth proportional to 5,362.08, 8,046.24 and 2,284 is: 3,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.08 : 8,046.24 = 2,284 : x
  2. Step 2: Convert to fraction form
    5,362.08/8,046.24 = 2,284/x
  3. Step 3: Cross multiply
    5,362.08x = 8,046.24 × 2,284
  4. Step 4: Simplify right side
    5,362.08x = 18,377,612.16
  5. Step 5: Solve for x
    x = 18,377,612.16/5,362.08
  6. Step 6: Final answer
    x = 3,427.33

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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.