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Finding the Fourth Proportional to 8,825, 13,234.70 and 2,900.52

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Solution

The fourth proportional to 8,825, 13,234.70 and 2,900.52 is: 4,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825 : 13,234.70 = 2,900.52 : x
  2. Step 2: Convert to fraction form
    8,825/13,234.70 = 2,900.52/x
  3. Step 3: Cross multiply
    8,825x = 13,234.70 × 2,900.52
  4. Step 4: Simplify right side
    8,825x = 38,387,497.54
  5. Step 5: Solve for x
    x = 38,387,497.54/8,825
  6. Step 6: Final answer
    x = 4,349.86

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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.