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Finding the Fourth Proportional to 3,790.55, 5,687.24 and 1,709.93

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Solution

The fourth proportional to 3,790.55, 5,687.24 and 1,709.93 is: 2,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.55 : 5,687.24 = 1,709.93 : x
  2. Step 2: Convert to fraction form
    3,790.55/5,687.24 = 1,709.93/x
  3. Step 3: Cross multiply
    3,790.55x = 5,687.24 × 1,709.93
  4. Step 4: Simplify right side
    3,790.55x = 9,724,745.31
  5. Step 5: Solve for x
    x = 9,724,745.31/3,790.55
  6. Step 6: Final answer
    x = 2,565.53

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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.