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Finding the Fourth Proportional to 3,221.63, 4,446.48 and 1,896.47

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Solution

The fourth proportional to 3,221.63, 4,446.48 and 1,896.47 is: 2,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.63 : 4,446.48 = 1,896.47 : x
  2. Step 2: Convert to fraction form
    3,221.63/4,446.48 = 1,896.47/x
  3. Step 3: Cross multiply
    3,221.63x = 4,446.48 × 1,896.47
  4. Step 4: Simplify right side
    3,221.63x = 8,432,615.93
  5. Step 5: Solve for x
    x = 8,432,615.93/3,221.63
  6. Step 6: Final answer
    x = 2,617.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.