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Finding the Fourth Proportional to 5,905.17, 8,153.28 and 3,919.86

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Solution

The fourth proportional to 5,905.17, 8,153.28 and 3,919.86 is: 5,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.17 : 8,153.28 = 3,919.86 : x
  2. Step 2: Convert to fraction form
    5,905.17/8,153.28 = 3,919.86/x
  3. Step 3: Cross multiply
    5,905.17x = 8,153.28 × 3,919.86
  4. Step 4: Simplify right side
    5,905.17x = 31,959,716.14
  5. Step 5: Solve for x
    x = 31,959,716.14/5,905.17
  6. Step 6: Final answer
    x = 5,412.16

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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.