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Finding the Fourth Proportional to 3,833.52, 5,751.49 and 1,368.28

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Solution

The fourth proportional to 3,833.52, 5,751.49 and 1,368.28 is: 2,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.52 : 5,751.49 = 1,368.28 : x
  2. Step 2: Convert to fraction form
    3,833.52/5,751.49 = 1,368.28/x
  3. Step 3: Cross multiply
    3,833.52x = 5,751.49 × 1,368.28
  4. Step 4: Simplify right side
    3,833.52x = 7,869,655.07
  5. Step 5: Solve for x
    x = 7,869,655.07/3,833.52
  6. Step 6: Final answer
    x = 2,052.86

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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.