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Finding the Fourth Proportional to 3,782.15, 5,674.53 and 1,703.61

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Solution

The fourth proportional to 3,782.15, 5,674.53 and 1,703.61 is: 2,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.15 : 5,674.53 = 1,703.61 : x
  2. Step 2: Convert to fraction form
    3,782.15/5,674.53 = 1,703.61/x
  3. Step 3: Cross multiply
    3,782.15x = 5,674.53 × 1,703.61
  4. Step 4: Simplify right side
    3,782.15x = 9,667,177.54
  5. Step 5: Solve for x
    x = 9,667,177.54/3,782.15
  6. Step 6: Final answer
    x = 2,556.00

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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.