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Finding the Fourth Proportional to 5,369.98, 8,057.13 and 1,909.66

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Solution

The fourth proportional to 5,369.98, 8,057.13 and 1,909.66 is: 2,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.98 : 8,057.13 = 1,909.66 : x
  2. Step 2: Convert to fraction form
    5,369.98/8,057.13 = 1,909.66/x
  3. Step 3: Cross multiply
    5,369.98x = 8,057.13 × 1,909.66
  4. Step 4: Simplify right side
    5,369.98x = 15,386,378.88
  5. Step 5: Solve for x
    x = 15,386,378.88/5,369.98
  6. Step 6: Final answer
    x = 2,865.26

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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.