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Finding the Fourth Proportional to 5,902.62, 8,851.86 and 1,741.52

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Solution

The fourth proportional to 5,902.62, 8,851.86 and 1,741.52 is: 2,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.62 : 8,851.86 = 1,741.52 : x
  2. Step 2: Convert to fraction form
    5,902.62/8,851.86 = 1,741.52/x
  3. Step 3: Cross multiply
    5,902.62x = 8,851.86 × 1,741.52
  4. Step 4: Simplify right side
    5,902.62x = 15,415,682.52
  5. Step 5: Solve for x
    x = 15,415,682.52/5,902.62
  6. Step 6: Final answer
    x = 2,611.67

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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.