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Finding the Fourth Proportional to 3,838.87, 5,755.00 and 1,498.32

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Solution

The fourth proportional to 3,838.87, 5,755.00 and 1,498.32 is: 2,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.87 : 5,755.00 = 1,498.32 : x
  2. Step 2: Convert to fraction form
    3,838.87/5,755.00 = 1,498.32/x
  3. Step 3: Cross multiply
    3,838.87x = 5,755.00 × 1,498.32
  4. Step 4: Simplify right side
    3,838.87x = 8,622,846.85
  5. Step 5: Solve for x
    x = 8,622,846.85/3,838.87
  6. Step 6: Final answer
    x = 2,246.19

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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.