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Finding the Fourth Proportional to 5,362.48, 8,037.24 and 2,278

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Solution

The fourth proportional to 5,362.48, 8,037.24 and 2,278 is: 3,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.48 : 8,037.24 = 2,278 : x
  2. Step 2: Convert to fraction form
    5,362.48/8,037.24 = 2,278/x
  3. Step 3: Cross multiply
    5,362.48x = 8,037.24 × 2,278
  4. Step 4: Simplify right side
    5,362.48x = 18,308,832.72
  5. Step 5: Solve for x
    x = 18,308,832.72/5,362.48
  6. Step 6: Final answer
    x = 3,414.25

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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.