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Finding the Fourth Proportional to 5,874.27, 8,106.32 and 3,221.64

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Solution

The fourth proportional to 5,874.27, 8,106.32 and 3,221.64 is: 4,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.27 : 8,106.32 = 3,221.64 : x
  2. Step 2: Convert to fraction form
    5,874.27/8,106.32 = 3,221.64/x
  3. Step 3: Cross multiply
    5,874.27x = 8,106.32 × 3,221.64
  4. Step 4: Simplify right side
    5,874.27x = 26,115,628.66
  5. Step 5: Solve for x
    x = 26,115,628.66/5,874.27
  6. Step 6: Final answer
    x = 4,445.77

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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.