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Finding the Fourth Proportional to 4,383.92, 6,574.44 and 1,461.44

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Solution

The fourth proportional to 4,383.92, 6,574.44 and 1,461.44 is: 2,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.92 : 6,574.44 = 1,461.44 : x
  2. Step 2: Convert to fraction form
    4,383.92/6,574.44 = 1,461.44/x
  3. Step 3: Cross multiply
    4,383.92x = 6,574.44 × 1,461.44
  4. Step 4: Simplify right side
    4,383.92x = 9,608,149.59
  5. Step 5: Solve for x
    x = 9,608,149.59/4,383.92
  6. Step 6: Final answer
    x = 2,191.68

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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.