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Finding the Fourth Proportional to 4,324.86, 6,493.29 and 3,005.50

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Solution

The fourth proportional to 4,324.86, 6,493.29 and 3,005.50 is: 4,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.86 : 6,493.29 = 3,005.50 : x
  2. Step 2: Convert to fraction form
    4,324.86/6,493.29 = 3,005.50/x
  3. Step 3: Cross multiply
    4,324.86x = 6,493.29 × 3,005.50
  4. Step 4: Simplify right side
    4,324.86x = 19,515,583.10
  5. Step 5: Solve for x
    x = 19,515,583.10/4,324.86
  6. Step 6: Final answer
    x = 4,512.42

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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.