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Finding the Fourth Proportional to 5,906.74, 8,152.08 and 3,816.94

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Solution

The fourth proportional to 5,906.74, 8,152.08 and 3,816.94 is: 5,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.74 : 8,152.08 = 3,816.94 : x
  2. Step 2: Convert to fraction form
    5,906.74/8,152.08 = 3,816.94/x
  3. Step 3: Cross multiply
    5,906.74x = 8,152.08 × 3,816.94
  4. Step 4: Simplify right side
    5,906.74x = 31,116,000.24
  5. Step 5: Solve for x
    x = 31,116,000.24/5,906.74
  6. Step 6: Final answer
    x = 5,267.88

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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.