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Finding the Fourth Proportional to 4,001.76, 6,012 and 3,525.12

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Solution

The fourth proportional to 4,001.76, 6,012 and 3,525.12 is: 5,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.76 : 6,012 = 3,525.12 : x
  2. Step 2: Convert to fraction form
    4,001.76/6,012 = 3,525.12/x
  3. Step 3: Cross multiply
    4,001.76x = 6,012 × 3,525.12
  4. Step 4: Simplify right side
    4,001.76x = 21,193,021.44
  5. Step 5: Solve for x
    x = 21,193,021.44/4,001.76
  6. Step 6: Final answer
    x = 5,295.93

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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.