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Finding the Fourth Proportional to 4,838.39, 7,256 and 1,550.70

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Solution

The fourth proportional to 4,838.39, 7,256 and 1,550.70 is: 2,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.39 : 7,256 = 1,550.70 : x
  2. Step 2: Convert to fraction form
    4,838.39/7,256 = 1,550.70/x
  3. Step 3: Cross multiply
    4,838.39x = 7,256 × 1,550.70
  4. Step 4: Simplify right side
    4,838.39x = 11,251,879.20
  5. Step 5: Solve for x
    x = 11,251,879.20/4,838.39
  6. Step 6: Final answer
    x = 2,325.54

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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.