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Finding the Fourth Proportional to 5,509.72, 8,262.24 and 3,426.64

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Solution

The fourth proportional to 5,509.72, 8,262.24 and 3,426.64 is: 5,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.72 : 8,262.24 = 3,426.64 : x
  2. Step 2: Convert to fraction form
    5,509.72/8,262.24 = 3,426.64/x
  3. Step 3: Cross multiply
    5,509.72x = 8,262.24 × 3,426.64
  4. Step 4: Simplify right side
    5,509.72x = 28,311,722.07
  5. Step 5: Solve for x
    x = 28,311,722.07/5,509.72
  6. Step 6: Final answer
    x = 5,138.50

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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.