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Finding the Fourth Proportional to 3,788.33, 5,684.34 and 1,322.06

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Solution

The fourth proportional to 3,788.33, 5,684.34 and 1,322.06 is: 1,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.33 : 5,684.34 = 1,322.06 : x
  2. Step 2: Convert to fraction form
    3,788.33/5,684.34 = 1,322.06/x
  3. Step 3: Cross multiply
    3,788.33x = 5,684.34 × 1,322.06
  4. Step 4: Simplify right side
    3,788.33x = 7,515,038.54
  5. Step 5: Solve for x
    x = 7,515,038.54/3,788.33
  6. Step 6: Final answer
    x = 1,983.73

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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.