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Finding the Fourth Proportional to 3,829.46, 5,735.07 and 2,364.17

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Solution

The fourth proportional to 3,829.46, 5,735.07 and 2,364.17 is: 3,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.46 : 5,735.07 = 2,364.17 : x
  2. Step 2: Convert to fraction form
    3,829.46/5,735.07 = 2,364.17/x
  3. Step 3: Cross multiply
    3,829.46x = 5,735.07 × 2,364.17
  4. Step 4: Simplify right side
    3,829.46x = 13,558,651.77
  5. Step 5: Solve for x
    x = 13,558,651.77/3,829.46
  6. Step 6: Final answer
    x = 3,540.62

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1.5x scale

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.