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Finding the Fourth Proportional to 5,911.77, 8,157.87 and 3,259.20

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Solution

The fourth proportional to 5,911.77, 8,157.87 and 3,259.20 is: 4,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.77 : 8,157.87 = 3,259.20 : x
  2. Step 2: Convert to fraction form
    5,911.77/8,157.87 = 3,259.20/x
  3. Step 3: Cross multiply
    5,911.77x = 8,157.87 × 3,259.20
  4. Step 4: Simplify right side
    5,911.77x = 26,588,129.90
  5. Step 5: Solve for x
    x = 26,588,129.90/5,911.77
  6. Step 6: Final answer
    x = 4,497.49

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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.