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Finding the Fourth Proportional to 3,364.65, 5,046.23 and 1,143.33

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Solution

The fourth proportional to 3,364.65, 5,046.23 and 1,143.33 is: 1,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.65 : 5,046.23 = 1,143.33 : x
  2. Step 2: Convert to fraction form
    3,364.65/5,046.23 = 1,143.33/x
  3. Step 3: Cross multiply
    3,364.65x = 5,046.23 × 1,143.33
  4. Step 4: Simplify right side
    3,364.65x = 5,769,500.43
  5. Step 5: Solve for x
    x = 5,769,500.43/3,364.65
  6. Step 6: Final answer
    x = 1,714.74

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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.