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Finding the Fourth Proportional to 3,834.56, 5,753.36 and 1,527.68

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Solution

The fourth proportional to 3,834.56, 5,753.36 and 1,527.68 is: 2,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.56 : 5,753.36 = 1,527.68 : x
  2. Step 2: Convert to fraction form
    3,834.56/5,753.36 = 1,527.68/x
  3. Step 3: Cross multiply
    3,834.56x = 5,753.36 × 1,527.68
  4. Step 4: Simplify right side
    3,834.56x = 8,789,293.00
  5. Step 5: Solve for x
    x = 8,789,293.00/3,834.56
  6. Step 6: Final answer
    x = 2,292.13

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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.