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Finding the Fourth Proportional to 4,323.25, 6,472.41 and 3,277.14

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Solution

The fourth proportional to 4,323.25, 6,472.41 and 3,277.14 is: 4,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.25 : 6,472.41 = 3,277.14 : x
  2. Step 2: Convert to fraction form
    4,323.25/6,472.41 = 3,277.14/x
  3. Step 3: Cross multiply
    4,323.25x = 6,472.41 × 3,277.14
  4. Step 4: Simplify right side
    4,323.25x = 21,210,993.71
  5. Step 5: Solve for x
    x = 21,210,993.71/4,323.25
  6. Step 6: Final answer
    x = 4,906.26

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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.