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Finding the Fourth Proportional to 8,624.40, 12,933.40 and 3,429.20

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Solution

The fourth proportional to 8,624.40, 12,933.40 and 3,429.20 is: 5,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.40 : 12,933.40 = 3,429.20 : x
  2. Step 2: Convert to fraction form
    8,624.40/12,933.40 = 3,429.20/x
  3. Step 3: Cross multiply
    8,624.40x = 12,933.40 × 3,429.20
  4. Step 4: Simplify right side
    8,624.40x = 44,351,215.28
  5. Step 5: Solve for x
    x = 44,351,215.28/8,624.40
  6. Step 6: Final answer
    x = 5,142.53

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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.