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Finding the Fourth Proportional to 5,838.64, 8,057.50 and 3,186.22

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Solution

The fourth proportional to 5,838.64, 8,057.50 and 3,186.22 is: 4,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.64 : 8,057.50 = 3,186.22 : x
  2. Step 2: Convert to fraction form
    5,838.64/8,057.50 = 3,186.22/x
  3. Step 3: Cross multiply
    5,838.64x = 8,057.50 × 3,186.22
  4. Step 4: Simplify right side
    5,838.64x = 25,672,997.60
  5. Step 5: Solve for x
    x = 25,672,997.60/5,838.64
  6. Step 6: Final answer
    x = 4,397.08

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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.