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Finding the Fourth Proportional to 3,580.72, 5,367.83 and 1,271.68

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Solution

The fourth proportional to 3,580.72, 5,367.83 and 1,271.68 is: 1,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.72 : 5,367.83 = 1,271.68 : x
  2. Step 2: Convert to fraction form
    3,580.72/5,367.83 = 1,271.68/x
  3. Step 3: Cross multiply
    3,580.72x = 5,367.83 × 1,271.68
  4. Step 4: Simplify right side
    3,580.72x = 6,826,151.81
  5. Step 5: Solve for x
    x = 6,826,151.81/3,580.72
  6. Step 6: Final answer
    x = 1,906.36

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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.