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Finding the Fourth Proportional to 4,230.82, 6,340.93 and 2,007.83

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Solution

The fourth proportional to 4,230.82, 6,340.93 and 2,007.83 is: 3,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.82 : 6,340.93 = 2,007.83 : x
  2. Step 2: Convert to fraction form
    4,230.82/6,340.93 = 2,007.83/x
  3. Step 3: Cross multiply
    4,230.82x = 6,340.93 × 2,007.83
  4. Step 4: Simplify right side
    4,230.82x = 12,731,487.02
  5. Step 5: Solve for x
    x = 12,731,487.02/4,230.82
  6. Step 6: Final answer
    x = 3,009.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.