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Finding the Fourth Proportional to 3,394.88, 5,091.93 and 1,314.70

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Solution

The fourth proportional to 3,394.88, 5,091.93 and 1,314.70 is: 1,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.88 : 5,091.93 = 1,314.70 : x
  2. Step 2: Convert to fraction form
    3,394.88/5,091.93 = 1,314.70/x
  3. Step 3: Cross multiply
    3,394.88x = 5,091.93 × 1,314.70
  4. Step 4: Simplify right side
    3,394.88x = 6,694,360.37
  5. Step 5: Solve for x
    x = 6,694,360.37/3,394.88
  6. Step 6: Final answer
    x = 1,971.90

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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.