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Finding the Fourth Proportional to 3,410.67, 5,113.65 and 1,741.56

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Solution

The fourth proportional to 3,410.67, 5,113.65 and 1,741.56 is: 2,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.67 : 5,113.65 = 1,741.56 : x
  2. Step 2: Convert to fraction form
    3,410.67/5,113.65 = 1,741.56/x
  3. Step 3: Cross multiply
    3,410.67x = 5,113.65 × 1,741.56
  4. Step 4: Simplify right side
    3,410.67x = 8,905,728.29
  5. Step 5: Solve for x
    x = 8,905,728.29/3,410.67
  6. Step 6: Final answer
    x = 2,611.14

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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.