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Finding the Fourth Proportional to 5,259.58, 7,889.20 and 2,138.67

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Solution

The fourth proportional to 5,259.58, 7,889.20 and 2,138.67 is: 3,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.58 : 7,889.20 = 2,138.67 : x
  2. Step 2: Convert to fraction form
    5,259.58/7,889.20 = 2,138.67/x
  3. Step 3: Cross multiply
    5,259.58x = 7,889.20 × 2,138.67
  4. Step 4: Simplify right side
    5,259.58x = 16,872,345.22
  5. Step 5: Solve for x
    x = 16,872,345.22/5,259.58
  6. Step 6: Final answer
    x = 3,207.93

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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.