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Finding the Fourth Proportional to 5,229.90, 7,200.36 and 4,238.46

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Solution

The fourth proportional to 5,229.90, 7,200.36 and 4,238.46 is: 5,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.90 : 7,200.36 = 4,238.46 : x
  2. Step 2: Convert to fraction form
    5,229.90/7,200.36 = 4,238.46/x
  3. Step 3: Cross multiply
    5,229.90x = 7,200.36 × 4,238.46
  4. Step 4: Simplify right side
    5,229.90x = 30,518,437.85
  5. Step 5: Solve for x
    x = 30,518,437.85/5,229.90
  6. Step 6: Final answer
    x = 5,835.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.