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Finding the Fourth Proportional to 4,230.36, 6,341.73 and 2,007.82

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Solution

The fourth proportional to 4,230.36, 6,341.73 and 2,007.82 is: 3,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.36 : 6,341.73 = 2,007.82 : x
  2. Step 2: Convert to fraction form
    4,230.36/6,341.73 = 2,007.82/x
  3. Step 3: Cross multiply
    4,230.36x = 6,341.73 × 2,007.82
  4. Step 4: Simplify right side
    4,230.36x = 12,733,052.73
  5. Step 5: Solve for x
    x = 12,733,052.73/4,230.36
  6. Step 6: Final answer
    x = 3,009.92

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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.