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Finding the Fourth Proportional to 5,754.62, 8,613.37 and 2,977.47

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Solution

The fourth proportional to 5,754.62, 8,613.37 and 2,977.47 is: 4,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.62 : 8,613.37 = 2,977.47 : x
  2. Step 2: Convert to fraction form
    5,754.62/8,613.37 = 2,977.47/x
  3. Step 3: Cross multiply
    5,754.62x = 8,613.37 × 2,977.47
  4. Step 4: Simplify right side
    5,754.62x = 25,646,035.89
  5. Step 5: Solve for x
    x = 25,646,035.89/5,754.62
  6. Step 6: Final answer
    x = 4,456.60

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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.