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Finding the Fourth Proportional to 5,643.74, 8,463.24 and 2,133.16

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Solution

The fourth proportional to 5,643.74, 8,463.24 and 2,133.16 is: 3,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.74 : 8,463.24 = 2,133.16 : x
  2. Step 2: Convert to fraction form
    5,643.74/8,463.24 = 2,133.16/x
  3. Step 3: Cross multiply
    5,643.74x = 8,463.24 × 2,133.16
  4. Step 4: Simplify right side
    5,643.74x = 18,053,423.88
  5. Step 5: Solve for x
    x = 18,053,423.88/5,643.74
  6. Step 6: Final answer
    x = 3,198.84

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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.