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Finding the Fourth Proportional to 5,911.64, 8,158.42 and 3,259.64

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Solution

The fourth proportional to 5,911.64, 8,158.42 and 3,259.64 is: 4,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.64 : 8,158.42 = 3,259.64 : x
  2. Step 2: Convert to fraction form
    5,911.64/8,158.42 = 3,259.64/x
  3. Step 3: Cross multiply
    5,911.64x = 8,158.42 × 3,259.64
  4. Step 4: Simplify right side
    5,911.64x = 26,593,512.17
  5. Step 5: Solve for x
    x = 26,593,512.17/5,911.64
  6. Step 6: Final answer
    x = 4,498.50

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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.