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Finding the Fourth Proportional to 4,843.69, 7,253.99 and 3,364.38

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Solution

The fourth proportional to 4,843.69, 7,253.99 and 3,364.38 is: 5,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.69 : 7,253.99 = 3,364.38 : x
  2. Step 2: Convert to fraction form
    4,843.69/7,253.99 = 3,364.38/x
  3. Step 3: Cross multiply
    4,843.69x = 7,253.99 × 3,364.38
  4. Step 4: Simplify right side
    4,843.69x = 24,405,214.49
  5. Step 5: Solve for x
    x = 24,405,214.49/4,843.69
  6. Step 6: Final answer
    x = 5,038.56

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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.