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Finding the Fourth Proportional to 6,146.27, 8,479.44 and 3,784.31

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Solution

The fourth proportional to 6,146.27, 8,479.44 and 3,784.31 is: 5,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.27 : 8,479.44 = 3,784.31 : x
  2. Step 2: Convert to fraction form
    6,146.27/8,479.44 = 3,784.31/x
  3. Step 3: Cross multiply
    6,146.27x = 8,479.44 × 3,784.31
  4. Step 4: Simplify right side
    6,146.27x = 32,088,810.66
  5. Step 5: Solve for x
    x = 32,088,810.66/6,146.27
  6. Step 6: Final answer
    x = 5,220.86

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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.