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Finding the Fourth Proportional to 5,263.87, 7,263.89 and 3,025.24

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Solution

The fourth proportional to 5,263.87, 7,263.89 and 3,025.24 is: 4,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.87 : 7,263.89 = 3,025.24 : x
  2. Step 2: Convert to fraction form
    5,263.87/7,263.89 = 3,025.24/x
  3. Step 3: Cross multiply
    5,263.87x = 7,263.89 × 3,025.24
  4. Step 4: Simplify right side
    5,263.87x = 21,975,010.58
  5. Step 5: Solve for x
    x = 21,975,010.58/5,263.87
  6. Step 6: Final answer
    x = 4,174.69

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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.