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Finding the Fourth Proportional to 3,364.32, 5,047.04 and 1,143.09

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Solution

The fourth proportional to 3,364.32, 5,047.04 and 1,143.09 is: 1,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.32 : 5,047.04 = 1,143.09 : x
  2. Step 2: Convert to fraction form
    3,364.32/5,047.04 = 1,143.09/x
  3. Step 3: Cross multiply
    3,364.32x = 5,047.04 × 1,143.09
  4. Step 4: Simplify right side
    3,364.32x = 5,769,215.24
  5. Step 5: Solve for x
    x = 5,769,215.24/3,364.32
  6. Step 6: Final answer
    x = 1,714.82

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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.