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Finding the Fourth Proportional to 3,396.09, 5,091.72 and 1,314.34

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Solution

The fourth proportional to 3,396.09, 5,091.72 and 1,314.34 is: 1,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.09 : 5,091.72 = 1,314.34 : x
  2. Step 2: Convert to fraction form
    3,396.09/5,091.72 = 1,314.34/x
  3. Step 3: Cross multiply
    3,396.09x = 5,091.72 × 1,314.34
  4. Step 4: Simplify right side
    3,396.09x = 6,692,225.81
  5. Step 5: Solve for x
    x = 6,692,225.81/3,396.09
  6. Step 6: Final answer
    x = 1,970.57

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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.