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Finding the Fourth Proportional to 5,942.24, 8,207.06 and 4,050.56

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Solution

The fourth proportional to 5,942.24, 8,207.06 and 4,050.56 is: 5,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.24 : 8,207.06 = 4,050.56 : x
  2. Step 2: Convert to fraction form
    5,942.24/8,207.06 = 4,050.56/x
  3. Step 3: Cross multiply
    5,942.24x = 8,207.06 × 4,050.56
  4. Step 4: Simplify right side
    5,942.24x = 33,243,188.95
  5. Step 5: Solve for x
    x = 33,243,188.95/5,942.24
  6. Step 6: Final answer
    x = 5,594.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.