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Finding the Fourth Proportional to 4,231.81, 6,376.81 and 3,507.68

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Solution

The fourth proportional to 4,231.81, 6,376.81 and 3,507.68 is: 5,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.81 : 6,376.81 = 3,507.68 : x
  2. Step 2: Convert to fraction form
    4,231.81/6,376.81 = 3,507.68/x
  3. Step 3: Cross multiply
    4,231.81x = 6,376.81 × 3,507.68
  4. Step 4: Simplify right side
    4,231.81x = 22,367,841.58
  5. Step 5: Solve for x
    x = 22,367,841.58/4,231.81
  6. Step 6: Final answer
    x = 5,285.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.