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Finding the Fourth Proportional to 8,159.45, 12,239.82 and 3,479.50

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Solution

The fourth proportional to 8,159.45, 12,239.82 and 3,479.50 is: 5,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.45 : 12,239.82 = 3,479.50 : x
  2. Step 2: Convert to fraction form
    8,159.45/12,239.82 = 3,479.50/x
  3. Step 3: Cross multiply
    8,159.45x = 12,239.82 × 3,479.50
  4. Step 4: Simplify right side
    8,159.45x = 42,588,438.98
  5. Step 5: Solve for x
    x = 42,588,438.98/8,159.45
  6. Step 6: Final answer
    x = 5,219.52

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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.