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Finding the Fourth Proportional to 3,782.67, 5,659.71 and 3,398.99

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Solution

The fourth proportional to 3,782.67, 5,659.71 and 3,398.99 is: 5,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.67 : 5,659.71 = 3,398.99 : x
  2. Step 2: Convert to fraction form
    3,782.67/5,659.71 = 3,398.99/x
  3. Step 3: Cross multiply
    3,782.67x = 5,659.71 × 3,398.99
  4. Step 4: Simplify right side
    3,782.67x = 19,237,269.39
  5. Step 5: Solve for x
    x = 19,237,269.39/3,782.67
  6. Step 6: Final answer
    x = 5,085.63

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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.