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Finding the Fourth Proportional to 3,824.52, 5,735.72 and 1,050.53

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Solution

The fourth proportional to 3,824.52, 5,735.72 and 1,050.53 is: 1,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.52 : 5,735.72 = 1,050.53 : x
  2. Step 2: Convert to fraction form
    3,824.52/5,735.72 = 1,050.53/x
  3. Step 3: Cross multiply
    3,824.52x = 5,735.72 × 1,050.53
  4. Step 4: Simplify right side
    3,824.52x = 6,025,540.21
  5. Step 5: Solve for x
    x = 6,025,540.21/3,824.52
  6. Step 6: Final answer
    x = 1,575.50

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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.