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Finding the Fourth Proportional to 4,229.76, 6,330.84 and 3,825.60

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Solution

The fourth proportional to 4,229.76, 6,330.84 and 3,825.60 is: 5,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.76 : 6,330.84 = 3,825.60 : x
  2. Step 2: Convert to fraction form
    4,229.76/6,330.84 = 3,825.60/x
  3. Step 3: Cross multiply
    4,229.76x = 6,330.84 × 3,825.60
  4. Step 4: Simplify right side
    4,229.76x = 24,219,261.50
  5. Step 5: Solve for x
    x = 24,219,261.50/4,229.76
  6. Step 6: Final answer
    x = 5,725.92

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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.