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Finding the Fourth Proportional to 5,463.91, 8,205.01 and 4,776.54

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Solution

The fourth proportional to 5,463.91, 8,205.01 and 4,776.54 is: 7,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.91 : 8,205.01 = 4,776.54 : x
  2. Step 2: Convert to fraction form
    5,463.91/8,205.01 = 4,776.54/x
  3. Step 3: Cross multiply
    5,463.91x = 8,205.01 × 4,776.54
  4. Step 4: Simplify right side
    5,463.91x = 39,191,591.70
  5. Step 5: Solve for x
    x = 39,191,591.70/5,463.91
  6. Step 6: Final answer
    x = 7,172.81

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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.