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Finding the Fourth Proportional to 3,789.35, 5,681.45 and 1,322.82

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Solution

The fourth proportional to 3,789.35, 5,681.45 and 1,322.82 is: 1,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.35 : 5,681.45 = 1,322.82 : x
  2. Step 2: Convert to fraction form
    3,789.35/5,681.45 = 1,322.82/x
  3. Step 3: Cross multiply
    3,789.35x = 5,681.45 × 1,322.82
  4. Step 4: Simplify right side
    3,789.35x = 7,515,529.07
  5. Step 5: Solve for x
    x = 7,515,529.07/3,789.35
  6. Step 6: Final answer
    x = 1,983.33

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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.