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Finding the Fourth Proportional to 5,900.96, 8,851.43 and 1,741.02

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Solution

The fourth proportional to 5,900.96, 8,851.43 and 1,741.02 is: 2,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.96 : 8,851.43 = 1,741.02 : x
  2. Step 2: Convert to fraction form
    5,900.96/8,851.43 = 1,741.02/x
  3. Step 3: Cross multiply
    5,900.96x = 8,851.43 × 1,741.02
  4. Step 4: Simplify right side
    5,900.96x = 15,410,516.66
  5. Step 5: Solve for x
    x = 15,410,516.66/5,900.96
  6. Step 6: Final answer
    x = 2,611.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.