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Finding the Fourth Proportional to 4,824.52, 7,241.11 and 4,038.80

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Solution

The fourth proportional to 4,824.52, 7,241.11 and 4,038.80 is: 6,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.52 : 7,241.11 = 4,038.80 : x
  2. Step 2: Convert to fraction form
    4,824.52/7,241.11 = 4,038.80/x
  3. Step 3: Cross multiply
    4,824.52x = 7,241.11 × 4,038.80
  4. Step 4: Simplify right side
    4,824.52x = 29,245,404.12
  5. Step 5: Solve for x
    x = 29,245,404.12/4,824.52
  6. Step 6: Final answer
    x = 6,061.82

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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.