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Finding the Fourth Proportional to 3,863.34, 5,795.62 and 1,398.31

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Solution

The fourth proportional to 3,863.34, 5,795.62 and 1,398.31 is: 2,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.34 : 5,795.62 = 1,398.31 : x
  2. Step 2: Convert to fraction form
    3,863.34/5,795.62 = 1,398.31/x
  3. Step 3: Cross multiply
    3,863.34x = 5,795.62 × 1,398.31
  4. Step 4: Simplify right side
    3,863.34x = 8,104,055.42
  5. Step 5: Solve for x
    x = 8,104,055.42/3,863.34
  6. Step 6: Final answer
    x = 2,097.68

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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.