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Finding the Fourth Proportional to 5,362.72, 8,046.96 and 2,284

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Solution

The fourth proportional to 5,362.72, 8,046.96 and 2,284 is: 3,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.72 : 8,046.96 = 2,284 : x
  2. Step 2: Convert to fraction form
    5,362.72/8,046.96 = 2,284/x
  3. Step 3: Cross multiply
    5,362.72x = 8,046.96 × 2,284
  4. Step 4: Simplify right side
    5,362.72x = 18,379,256.64
  5. Step 5: Solve for x
    x = 18,379,256.64/5,362.72
  6. Step 6: Final answer
    x = 3,427.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.