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Finding the Fourth Proportional to 3,443.15, 5,164.74 and 1,363.65

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Solution

The fourth proportional to 3,443.15, 5,164.74 and 1,363.65 is: 2,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.15 : 5,164.74 = 1,363.65 : x
  2. Step 2: Convert to fraction form
    3,443.15/5,164.74 = 1,363.65/x
  3. Step 3: Cross multiply
    3,443.15x = 5,164.74 × 1,363.65
  4. Step 4: Simplify right side
    3,443.15x = 7,042,865.06
  5. Step 5: Solve for x
    x = 7,042,865.06/3,443.15
  6. Step 6: Final answer
    x = 2,045.47

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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.