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Finding the Fourth Proportional to 5,351.84, 8,027.16 and 1,455.98

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Solution

The fourth proportional to 5,351.84, 8,027.16 and 1,455.98 is: 2,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.84 : 8,027.16 = 1,455.98 : x
  2. Step 2: Convert to fraction form
    5,351.84/8,027.16 = 1,455.98/x
  3. Step 3: Cross multiply
    5,351.84x = 8,027.16 × 1,455.98
  4. Step 4: Simplify right side
    5,351.84x = 11,687,384.42
  5. Step 5: Solve for x
    x = 11,687,384.42/5,351.84
  6. Step 6: Final answer
    x = 2,183.81

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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.