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Finding the Fourth Proportional to 3,717.73, 5,577 and 1,377.46

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Solution

The fourth proportional to 3,717.73, 5,577 and 1,377.46 is: 2,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.73 : 5,577 = 1,377.46 : x
  2. Step 2: Convert to fraction form
    3,717.73/5,577 = 1,377.46/x
  3. Step 3: Cross multiply
    3,717.73x = 5,577 × 1,377.46
  4. Step 4: Simplify right side
    3,717.73x = 7,682,094.42
  5. Step 5: Solve for x
    x = 7,682,094.42/3,717.73
  6. Step 6: Final answer
    x = 2,066.34

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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.