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Finding the Fourth Proportional to 3,699.87, 5,550.54 and 1,234.86

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Solution

The fourth proportional to 3,699.87, 5,550.54 and 1,234.86 is: 1,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.87 : 5,550.54 = 1,234.86 : x
  2. Step 2: Convert to fraction form
    3,699.87/5,550.54 = 1,234.86/x
  3. Step 3: Cross multiply
    3,699.87x = 5,550.54 × 1,234.86
  4. Step 4: Simplify right side
    3,699.87x = 6,854,139.82
  5. Step 5: Solve for x
    x = 6,854,139.82/3,699.87
  6. Step 6: Final answer
    x = 1,852.54

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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.