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Finding the Fourth Proportional to 3,829.54, 5,744.86 and 1,363.64

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Solution

The fourth proportional to 3,829.54, 5,744.86 and 1,363.64 is: 2,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.54 : 5,744.86 = 1,363.64 : x
  2. Step 2: Convert to fraction form
    3,829.54/5,744.86 = 1,363.64/x
  3. Step 3: Cross multiply
    3,829.54x = 5,744.86 × 1,363.64
  4. Step 4: Simplify right side
    3,829.54x = 7,833,920.89
  5. Step 5: Solve for x
    x = 7,833,920.89/3,829.54
  6. Step 6: Final answer
    x = 2,045.66

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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.