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Finding the Fourth Proportional to 5,523.15, 8,288.22 and 5,004.21

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Solution

The fourth proportional to 5,523.15, 8,288.22 and 5,004.21 is: 7,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.15 : 8,288.22 = 5,004.21 : x
  2. Step 2: Convert to fraction form
    5,523.15/8,288.22 = 5,004.21/x
  3. Step 3: Cross multiply
    5,523.15x = 8,288.22 × 5,004.21
  4. Step 4: Simplify right side
    5,523.15x = 41,476,043.25
  5. Step 5: Solve for x
    x = 41,476,043.25/5,523.15
  6. Step 6: Final answer
    x = 7,509.49

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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.