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Finding the Fourth Proportional to 5,911.64, 8,157.98 and 3,259.16

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Solution

The fourth proportional to 5,911.64, 8,157.98 and 3,259.16 is: 4,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.64 : 8,157.98 = 3,259.16 : x
  2. Step 2: Convert to fraction form
    5,911.64/8,157.98 = 3,259.16/x
  3. Step 3: Cross multiply
    5,911.64x = 8,157.98 × 3,259.16
  4. Step 4: Simplify right side
    5,911.64x = 26,588,105.01
  5. Step 5: Solve for x
    x = 26,588,105.01/5,911.64
  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.