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Finding the Fourth Proportional to 3,027.92, 4,174.20 and 2,356.63

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Solution

The fourth proportional to 3,027.92, 4,174.20 and 2,356.63 is: 3,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.92 : 4,174.20 = 2,356.63 : x
  2. Step 2: Convert to fraction form
    3,027.92/4,174.20 = 2,356.63/x
  3. Step 3: Cross multiply
    3,027.92x = 4,174.20 × 2,356.63
  4. Step 4: Simplify right side
    3,027.92x = 9,837,034.51
  5. Step 5: Solve for x
    x = 9,837,034.51/3,027.92
  6. Step 6: Final answer
    x = 3,248.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.