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Finding the Fourth Proportional to 4,752.24, 7,121.04 and 4,023.24

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Solution

The fourth proportional to 4,752.24, 7,121.04 and 4,023.24 is: 6,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.24 : 7,121.04 = 4,023.24 : x
  2. Step 2: Convert to fraction form
    4,752.24/7,121.04 = 4,023.24/x
  3. Step 3: Cross multiply
    4,752.24x = 7,121.04 × 4,023.24
  4. Step 4: Simplify right side
    4,752.24x = 28,649,652.97
  5. Step 5: Solve for x
    x = 28,649,652.97/4,752.24
  6. Step 6: Final answer
    x = 6,028.66

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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.