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Finding the Fourth Proportional to 5,463.72, 8,184.42 and 5,059.08

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Solution

The fourth proportional to 5,463.72, 8,184.42 and 5,059.08 is: 7,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.72 : 8,184.42 = 5,059.08 : x
  2. Step 2: Convert to fraction form
    5,463.72/8,184.42 = 5,059.08/x
  3. Step 3: Cross multiply
    5,463.72x = 8,184.42 × 5,059.08
  4. Step 4: Simplify right side
    5,463.72x = 41,405,635.53
  5. Step 5: Solve for x
    x = 41,405,635.53/5,463.72
  6. Step 6: Final answer
    x = 7,578.29

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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.