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Finding the Fourth Proportional to 6,397.25, 8,827.52 and 4,719.56

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Solution

The fourth proportional to 6,397.25, 8,827.52 and 4,719.56 is: 6,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.25 : 8,827.52 = 4,719.56 : x
  2. Step 2: Convert to fraction form
    6,397.25/8,827.52 = 4,719.56/x
  3. Step 3: Cross multiply
    6,397.25x = 8,827.52 × 4,719.56
  4. Step 4: Simplify right side
    6,397.25x = 41,661,942.56
  5. Step 5: Solve for x
    x = 41,661,942.56/6,397.25
  6. Step 6: Final answer
    x = 6,512.48

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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.