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Finding the Fourth Proportional to 4,221.52, 6,328.44 and 1,912.08

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Solution

The fourth proportional to 4,221.52, 6,328.44 and 1,912.08 is: 2,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.52 : 6,328.44 = 1,912.08 : x
  2. Step 2: Convert to fraction form
    4,221.52/6,328.44 = 1,912.08/x
  3. Step 3: Cross multiply
    4,221.52x = 6,328.44 × 1,912.08
  4. Step 4: Simplify right side
    4,221.52x = 12,100,483.56
  5. Step 5: Solve for x
    x = 12,100,483.56/4,221.52
  6. Step 6: Final answer
    x = 2,866.38

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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.