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Finding the Fourth Proportional to 5,342.81, 8,006.72 and 2,219.45

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Solution

The fourth proportional to 5,342.81, 8,006.72 and 2,219.45 is: 3,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.81 : 8,006.72 = 2,219.45 : x
  2. Step 2: Convert to fraction form
    5,342.81/8,006.72 = 2,219.45/x
  3. Step 3: Cross multiply
    5,342.81x = 8,006.72 × 2,219.45
  4. Step 4: Simplify right side
    5,342.81x = 17,770,463.57
  5. Step 5: Solve for x
    x = 17,770,463.57/5,342.81
  6. Step 6: Final answer
    x = 3,326.06

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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.