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Finding the Fourth Proportional to 5,566, 8,349.84 and 1,816.48

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Solution

The fourth proportional to 5,566, 8,349.84 and 1,816.48 is: 2,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566 : 8,349.84 = 1,816.48 : x
  2. Step 2: Convert to fraction form
    5,566/8,349.84 = 1,816.48/x
  3. Step 3: Cross multiply
    5,566x = 8,349.84 × 1,816.48
  4. Step 4: Simplify right side
    5,566x = 15,167,317.36
  5. Step 5: Solve for x
    x = 15,167,317.36/5,566
  6. Step 6: Final answer
    x = 2,724.99

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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.