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Finding the Fourth Proportional to 5,259.42, 7,889.10 and 2,138.82

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Solution

The fourth proportional to 5,259.42, 7,889.10 and 2,138.82 is: 3,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.42 : 7,889.10 = 2,138.82 : x
  2. Step 2: Convert to fraction form
    5,259.42/7,889.10 = 2,138.82/x
  3. Step 3: Cross multiply
    5,259.42x = 7,889.10 × 2,138.82
  4. Step 4: Simplify right side
    5,259.42x = 16,873,364.86
  5. Step 5: Solve for x
    x = 16,873,364.86/5,259.42
  6. Step 6: Final answer
    x = 3,208.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.