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Finding the Fourth Proportional to 4,352.25, 6,005.64 and 2,463.54

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Solution

The fourth proportional to 4,352.25, 6,005.64 and 2,463.54 is: 3,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.25 : 6,005.64 = 2,463.54 : x
  2. Step 2: Convert to fraction form
    4,352.25/6,005.64 = 2,463.54/x
  3. Step 3: Cross multiply
    4,352.25x = 6,005.64 × 2,463.54
  4. Step 4: Simplify right side
    4,352.25x = 14,795,121.08
  5. Step 5: Solve for x
    x = 14,795,121.08/4,352.25
  6. Step 6: Final answer
    x = 3,399.42

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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.