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Finding the Fourth Proportional to 3,678.87, 5,511.75 and 3,153.72

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Solution

The fourth proportional to 3,678.87, 5,511.75 and 3,153.72 is: 4,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.87 : 5,511.75 = 3,153.72 : x
  2. Step 2: Convert to fraction form
    3,678.87/5,511.75 = 3,153.72/x
  3. Step 3: Cross multiply
    3,678.87x = 5,511.75 × 3,153.72
  4. Step 4: Simplify right side
    3,678.87x = 17,382,516.21
  5. Step 5: Solve for x
    x = 17,382,516.21/3,678.87
  6. Step 6: Final answer
    x = 4,724.96

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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.