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Finding the Fourth Proportional to 3,833.81, 5,751.17 and 1,368.87

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Solution

The fourth proportional to 3,833.81, 5,751.17 and 1,368.87 is: 2,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.81 : 5,751.17 = 1,368.87 : x
  2. Step 2: Convert to fraction form
    3,833.81/5,751.17 = 1,368.87/x
  3. Step 3: Cross multiply
    3,833.81x = 5,751.17 × 1,368.87
  4. Step 4: Simplify right side
    3,833.81x = 7,872,604.08
  5. Step 5: Solve for x
    x = 7,872,604.08/3,833.81
  6. Step 6: Final answer
    x = 2,053.47

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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.