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Finding the Fourth Proportional to 5,538.88, 8,312.22 and 5,009.52

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Solution

The fourth proportional to 5,538.88, 8,312.22 and 5,009.52 is: 7,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.88 : 8,312.22 = 5,009.52 : x
  2. Step 2: Convert to fraction form
    5,538.88/8,312.22 = 5,009.52/x
  3. Step 3: Cross multiply
    5,538.88x = 8,312.22 × 5,009.52
  4. Step 4: Simplify right side
    5,538.88x = 41,640,232.33
  5. Step 5: Solve for x
    x = 41,640,232.33/5,538.88
  6. Step 6: Final answer
    x = 7,517.81

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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.