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Finding the Fourth Proportional to 4,701.44, 6,491.04 and 3,305.60

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Solution

The fourth proportional to 4,701.44, 6,491.04 and 3,305.60 is: 4,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.44 : 6,491.04 = 3,305.60 : x
  2. Step 2: Convert to fraction form
    4,701.44/6,491.04 = 3,305.60/x
  3. Step 3: Cross multiply
    4,701.44x = 6,491.04 × 3,305.60
  4. Step 4: Simplify right side
    4,701.44x = 21,456,781.82
  5. Step 5: Solve for x
    x = 21,456,781.82/4,701.44
  6. Step 6: Final answer
    x = 4,563.87

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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.