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Finding the Fourth Proportional to 5,888.72, 8,126.38 and 3,199.92

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Solution

The fourth proportional to 5,888.72, 8,126.38 and 3,199.92 is: 4,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.72 : 8,126.38 = 3,199.92 : x
  2. Step 2: Convert to fraction form
    5,888.72/8,126.38 = 3,199.92/x
  3. Step 3: Cross multiply
    5,888.72x = 8,126.38 × 3,199.92
  4. Step 4: Simplify right side
    5,888.72x = 26,003,765.89
  5. Step 5: Solve for x
    x = 26,003,765.89/5,888.72
  6. Step 6: Final answer
    x = 4,415.86

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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.