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Finding the Fourth Proportional to 5,911.62, 8,157.99 and 3,259.14

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Solution

The fourth proportional to 5,911.62, 8,157.99 and 3,259.14 is: 4,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.62 : 8,157.99 = 3,259.14 : x
  2. Step 2: Convert to fraction form
    5,911.62/8,157.99 = 3,259.14/x
  3. Step 3: Cross multiply
    5,911.62x = 8,157.99 × 3,259.14
  4. Step 4: Simplify right side
    5,911.62x = 26,588,031.53
  5. Step 5: Solve for x
    x = 26,588,031.53/5,911.62
  6. Step 6: Final answer
    x = 4,497.59

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