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Finding the Fourth Proportional to 3,834.74, 5,750.19 and 1,369.17

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Solution

The fourth proportional to 3,834.74, 5,750.19 and 1,369.17 is: 2,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.74 : 5,750.19 = 1,369.17 : x
  2. Step 2: Convert to fraction form
    3,834.74/5,750.19 = 1,369.17/x
  3. Step 3: Cross multiply
    3,834.74x = 5,750.19 × 1,369.17
  4. Step 4: Simplify right side
    3,834.74x = 7,872,987.64
  5. Step 5: Solve for x
    x = 7,872,987.64/3,834.74
  6. Step 6: Final answer
    x = 2,053.07

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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.