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Finding the Fourth Proportional to 3,785.54, 5,679.23 and 1,320.37

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Solution

The fourth proportional to 3,785.54, 5,679.23 and 1,320.37 is: 1,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.54 : 5,679.23 = 1,320.37 : x
  2. Step 2: Convert to fraction form
    3,785.54/5,679.23 = 1,320.37/x
  3. Step 3: Cross multiply
    3,785.54x = 5,679.23 × 1,320.37
  4. Step 4: Simplify right side
    3,785.54x = 7,498,664.12
  5. Step 5: Solve for x
    x = 7,498,664.12/3,785.54
  6. Step 6: Final answer
    x = 1,980.87

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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.