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Finding the Fourth Proportional to 5,314.37, 7,972.72 and 2,027.48

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Solution

The fourth proportional to 5,314.37, 7,972.72 and 2,027.48 is: 3,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.37 : 7,972.72 = 2,027.48 : x
  2. Step 2: Convert to fraction form
    5,314.37/7,972.72 = 2,027.48/x
  3. Step 3: Cross multiply
    5,314.37x = 7,972.72 × 2,027.48
  4. Step 4: Simplify right side
    5,314.37x = 16,164,485.41
  5. Step 5: Solve for x
    x = 16,164,485.41/5,314.37
  6. Step 6: Final answer
    x = 3,041.66

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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.