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Finding the Fourth Proportional to 5,369.70, 8,054.01 and 1,474.68

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Solution

The fourth proportional to 5,369.70, 8,054.01 and 1,474.68 is: 2,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.70 : 8,054.01 = 1,474.68 : x
  2. Step 2: Convert to fraction form
    5,369.70/8,054.01 = 1,474.68/x
  3. Step 3: Cross multiply
    5,369.70x = 8,054.01 × 1,474.68
  4. Step 4: Simplify right side
    5,369.70x = 11,877,087.47
  5. Step 5: Solve for x
    x = 11,877,087.47/5,369.70
  6. Step 6: Final answer
    x = 2,211.87

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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.