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Finding the Fourth Proportional to 4,127.69, 6,186.05 and 3,577.29

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Solution

The fourth proportional to 4,127.69, 6,186.05 and 3,577.29 is: 5,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.69 : 6,186.05 = 3,577.29 : x
  2. Step 2: Convert to fraction form
    4,127.69/6,186.05 = 3,577.29/x
  3. Step 3: Cross multiply
    4,127.69x = 6,186.05 × 3,577.29
  4. Step 4: Simplify right side
    4,127.69x = 22,129,294.80
  5. Step 5: Solve for x
    x = 22,129,294.80/4,127.69
  6. Step 6: Final answer
    x = 5,361.18

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