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Finding the Fourth Proportional to 3,398.29, 5,096.04 and 1,317.89

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Solution

The fourth proportional to 3,398.29, 5,096.04 and 1,317.89 is: 1,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.29 : 5,096.04 = 1,317.89 : x
  2. Step 2: Convert to fraction form
    3,398.29/5,096.04 = 1,317.89/x
  3. Step 3: Cross multiply
    3,398.29x = 5,096.04 × 1,317.89
  4. Step 4: Simplify right side
    3,398.29x = 6,716,020.16
  5. Step 5: Solve for x
    x = 6,716,020.16/3,398.29
  6. Step 6: Final answer
    x = 1,976.30

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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.