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Finding the Fourth Proportional to 3,826.92, 5,741.10 and 1,363.47

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Solution

The fourth proportional to 3,826.92, 5,741.10 and 1,363.47 is: 2,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.92 : 5,741.10 = 1,363.47 : x
  2. Step 2: Convert to fraction form
    3,826.92/5,741.10 = 1,363.47/x
  3. Step 3: Cross multiply
    3,826.92x = 5,741.10 × 1,363.47
  4. Step 4: Simplify right side
    3,826.92x = 7,827,817.62
  5. Step 5: Solve for x
    x = 7,827,817.62/3,826.92
  6. Step 6: Final answer
    x = 2,045.46

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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.