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Finding the Fourth Proportional to 5,147.50, 7,731.61 and 3,071.56

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Solution

The fourth proportional to 5,147.50, 7,731.61 and 3,071.56 is: 4,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.50 : 7,731.61 = 3,071.56 : x
  2. Step 2: Convert to fraction form
    5,147.50/7,731.61 = 3,071.56/x
  3. Step 3: Cross multiply
    5,147.50x = 7,731.61 × 3,071.56
  4. Step 4: Simplify right side
    5,147.50x = 23,748,104.01
  5. Step 5: Solve for x
    x = 23,748,104.01/5,147.50
  6. Step 6: Final answer
    x = 4,613.52

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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.