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Finding the Fourth Proportional to 4,825.18, 7,229.82 and 4,421.68

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Solution

The fourth proportional to 4,825.18, 7,229.82 and 4,421.68 is: 6,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.18 : 7,229.82 = 4,421.68 : x
  2. Step 2: Convert to fraction form
    4,825.18/7,229.82 = 4,421.68/x
  3. Step 3: Cross multiply
    4,825.18x = 7,229.82 × 4,421.68
  4. Step 4: Simplify right side
    4,825.18x = 31,967,950.50
  5. Step 5: Solve for x
    x = 31,967,950.50/4,825.18
  6. Step 6: Final answer
    x = 6,625.23

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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.