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Finding the Fourth Proportional to 5,064.78, 7,596.90 and 1,366.96

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Solution

The fourth proportional to 5,064.78, 7,596.90 and 1,366.96 is: 2,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.78 : 7,596.90 = 1,366.96 : x
  2. Step 2: Convert to fraction form
    5,064.78/7,596.90 = 1,366.96/x
  3. Step 3: Cross multiply
    5,064.78x = 7,596.90 × 1,366.96
  4. Step 4: Simplify right side
    5,064.78x = 10,384,658.42
  5. Step 5: Solve for x
    x = 10,384,658.42/5,064.78
  6. Step 6: Final answer
    x = 2,050.37

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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.