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Finding the Fourth Proportional to 3,829.65, 5,744.49 and 1,364.46

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Solution

The fourth proportional to 3,829.65, 5,744.49 and 1,364.46 is: 2,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.65 : 5,744.49 = 1,364.46 : x
  2. Step 2: Convert to fraction form
    3,829.65/5,744.49 = 1,364.46/x
  3. Step 3: Cross multiply
    3,829.65x = 5,744.49 × 1,364.46
  4. Step 4: Simplify right side
    3,829.65x = 7,838,132.48
  5. Step 5: Solve for x
    x = 7,838,132.48/3,829.65
  6. Step 6: Final answer
    x = 2,046.70

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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.