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Finding the Fourth Proportional to 3,643.76, 5,025.72 and 2,382.80

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Solution

The fourth proportional to 3,643.76, 5,025.72 and 2,382.80 is: 3,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.76 : 5,025.72 = 2,382.80 : x
  2. Step 2: Convert to fraction form
    3,643.76/5,025.72 = 2,382.80/x
  3. Step 3: Cross multiply
    3,643.76x = 5,025.72 × 2,382.80
  4. Step 4: Simplify right side
    3,643.76x = 11,975,269.42
  5. Step 5: Solve for x
    x = 11,975,269.42/3,643.76
  6. Step 6: Final answer
    x = 3,286.51

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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.