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Finding the Fourth Proportional to 3,463.44, 4,778.94 and 3,288.30

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Solution

The fourth proportional to 3,463.44, 4,778.94 and 3,288.30 is: 4,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.44 : 4,778.94 = 3,288.30 : x
  2. Step 2: Convert to fraction form
    3,463.44/4,778.94 = 3,288.30/x
  3. Step 3: Cross multiply
    3,463.44x = 4,778.94 × 3,288.30
  4. Step 4: Simplify right side
    3,463.44x = 15,714,588.40
  5. Step 5: Solve for x
    x = 15,714,588.40/3,463.44
  6. Step 6: Final answer
    x = 4,537.28

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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.