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Finding the Fourth Proportional to 4,120.68, 5,687.16 and 2,352.60

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Solution

The fourth proportional to 4,120.68, 5,687.16 and 2,352.60 is: 3,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.68 : 5,687.16 = 2,352.60 : x
  2. Step 2: Convert to fraction form
    4,120.68/5,687.16 = 2,352.60/x
  3. Step 3: Cross multiply
    4,120.68x = 5,687.16 × 2,352.60
  4. Step 4: Simplify right side
    4,120.68x = 13,379,612.62
  5. Step 5: Solve for x
    x = 13,379,612.62/4,120.68
  6. Step 6: Final answer
    x = 3,246.94

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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.