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Finding the Fourth Proportional to 3,949.34, 5,923.53 and 1,027.87

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Solution

The fourth proportional to 3,949.34, 5,923.53 and 1,027.87 is: 1,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.34 : 5,923.53 = 1,027.87 : x
  2. Step 2: Convert to fraction form
    3,949.34/5,923.53 = 1,027.87/x
  3. Step 3: Cross multiply
    3,949.34x = 5,923.53 × 1,027.87
  4. Step 4: Simplify right side
    3,949.34x = 6,088,603.97
  5. Step 5: Solve for x
    x = 6,088,603.97/3,949.34
  6. Step 6: Final answer
    x = 1,541.68

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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.