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Finding the Fourth Proportional to 5,369, 8,053.50 and 1,906.34

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Solution

The fourth proportional to 5,369, 8,053.50 and 1,906.34 is: 2,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369 : 8,053.50 = 1,906.34 : x
  2. Step 2: Convert to fraction form
    5,369/8,053.50 = 1,906.34/x
  3. Step 3: Cross multiply
    5,369x = 8,053.50 × 1,906.34
  4. Step 4: Simplify right side
    5,369x = 15,352,709.19
  5. Step 5: Solve for x
    x = 15,352,709.19/5,369
  6. Step 6: Final answer
    x = 2,859.51

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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.