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Finding the Fourth Proportional to 4,422.74, 6,632.09 and 1,499.86

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Solution

The fourth proportional to 4,422.74, 6,632.09 and 1,499.86 is: 2,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.74 : 6,632.09 = 1,499.86 : x
  2. Step 2: Convert to fraction form
    4,422.74/6,632.09 = 1,499.86/x
  3. Step 3: Cross multiply
    4,422.74x = 6,632.09 × 1,499.86
  4. Step 4: Simplify right side
    4,422.74x = 9,947,165.85
  5. Step 5: Solve for x
    x = 9,947,165.85/4,422.74
  6. Step 6: Final answer
    x = 2,249.10

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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.