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Finding the Fourth Proportional to 3,809.40, 5,714.90 and 1,212.36

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Solution

The fourth proportional to 3,809.40, 5,714.90 and 1,212.36 is: 1,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.40 : 5,714.90 = 1,212.36 : x
  2. Step 2: Convert to fraction form
    3,809.40/5,714.90 = 1,212.36/x
  3. Step 3: Cross multiply
    3,809.40x = 5,714.90 × 1,212.36
  4. Step 4: Simplify right side
    3,809.40x = 6,928,516.16
  5. Step 5: Solve for x
    x = 6,928,516.16/3,809.40
  6. Step 6: Final answer
    x = 1,818.79

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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.