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Finding the Fourth Proportional to 3,829.76, 5,744.16 and 1,363.92

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Solution

The fourth proportional to 3,829.76, 5,744.16 and 1,363.92 is: 2,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.76 : 5,744.16 = 1,363.92 : x
  2. Step 2: Convert to fraction form
    3,829.76/5,744.16 = 1,363.92/x
  3. Step 3: Cross multiply
    3,829.76x = 5,744.16 × 1,363.92
  4. Step 4: Simplify right side
    3,829.76x = 7,834,574.71
  5. Step 5: Solve for x
    x = 7,834,574.71/3,829.76
  6. Step 6: Final answer
    x = 2,045.71

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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.