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Finding the Fourth Proportional to 4,597.67, 6,891.10 and 2,127.27

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Solution

The fourth proportional to 4,597.67, 6,891.10 and 2,127.27 is: 3,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.67 : 6,891.10 = 2,127.27 : x
  2. Step 2: Convert to fraction form
    4,597.67/6,891.10 = 2,127.27/x
  3. Step 3: Cross multiply
    4,597.67x = 6,891.10 × 2,127.27
  4. Step 4: Simplify right side
    4,597.67x = 14,659,232.96
  5. Step 5: Solve for x
    x = 14,659,232.96/4,597.67
  6. Step 6: Final answer
    x = 3,188.41

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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.