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Finding the Fourth Proportional to 5,940.64, 8,914.52 and 2,382.13

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Solution

The fourth proportional to 5,940.64, 8,914.52 and 2,382.13 is: 3,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.64 : 8,914.52 = 2,382.13 : x
  2. Step 2: Convert to fraction form
    5,940.64/8,914.52 = 2,382.13/x
  3. Step 3: Cross multiply
    5,940.64x = 8,914.52 × 2,382.13
  4. Step 4: Simplify right side
    5,940.64x = 21,235,545.53
  5. Step 5: Solve for x
    x = 21,235,545.53/5,940.64
  6. Step 6: Final answer
    x = 3,574.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.