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Finding the Fourth Proportional to 3,883.60, 5,826.20 and 1,288.36

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Solution

The fourth proportional to 3,883.60, 5,826.20 and 1,288.36 is: 1,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.60 : 5,826.20 = 1,288.36 : x
  2. Step 2: Convert to fraction form
    3,883.60/5,826.20 = 1,288.36/x
  3. Step 3: Cross multiply
    3,883.60x = 5,826.20 × 1,288.36
  4. Step 4: Simplify right side
    3,883.60x = 7,506,243.03
  5. Step 5: Solve for x
    x = 7,506,243.03/3,883.60
  6. Step 6: Final answer
    x = 1,932.81

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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.