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Finding the Fourth Proportional to 3,782.30, 5,674.86 and 1,701.68

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Solution

The fourth proportional to 3,782.30, 5,674.86 and 1,701.68 is: 2,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.30 : 5,674.86 = 1,701.68 : x
  2. Step 2: Convert to fraction form
    3,782.30/5,674.86 = 1,701.68/x
  3. Step 3: Cross multiply
    3,782.30x = 5,674.86 × 1,701.68
  4. Step 4: Simplify right side
    3,782.30x = 9,656,767.39
  5. Step 5: Solve for x
    x = 9,656,767.39/3,782.30
  6. Step 6: Final answer
    x = 2,553.15

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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.