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Finding the Fourth Proportional to 4,377.14, 6,566.11 and 1,744.01

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Solution

The fourth proportional to 4,377.14, 6,566.11 and 1,744.01 is: 2,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.14 : 6,566.11 = 1,744.01 : x
  2. Step 2: Convert to fraction form
    4,377.14/6,566.11 = 1,744.01/x
  3. Step 3: Cross multiply
    4,377.14x = 6,566.11 × 1,744.01
  4. Step 4: Simplify right side
    4,377.14x = 11,451,351.63
  5. Step 5: Solve for x
    x = 11,451,351.63/4,377.14
  6. Step 6: Final answer
    x = 2,616.17

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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.