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Finding the Fourth Proportional to 3,777.26, 5,667.81 and 1,557.72

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Solution

The fourth proportional to 3,777.26, 5,667.81 and 1,557.72 is: 2,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.26 : 5,667.81 = 1,557.72 : x
  2. Step 2: Convert to fraction form
    3,777.26/5,667.81 = 1,557.72/x
  3. Step 3: Cross multiply
    3,777.26x = 5,667.81 × 1,557.72
  4. Step 4: Simplify right side
    3,777.26x = 8,828,860.99
  5. Step 5: Solve for x
    x = 8,828,860.99/3,777.26
  6. Step 6: Final answer
    x = 2,337.37

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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.