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Finding the Fourth Proportional to 3,394.16, 5,092 and 1,314.18

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Solution

The fourth proportional to 3,394.16, 5,092 and 1,314.18 is: 1,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.16 : 5,092 = 1,314.18 : x
  2. Step 2: Convert to fraction form
    3,394.16/5,092 = 1,314.18/x
  3. Step 3: Cross multiply
    3,394.16x = 5,092 × 1,314.18
  4. Step 4: Simplify right side
    3,394.16x = 6,691,804.56
  5. Step 5: Solve for x
    x = 6,691,804.56/3,394.16
  6. Step 6: Final answer
    x = 1,971.56

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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.