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Finding the Fourth Proportional to 3,588.64, 5,389.44 and 3,424.48

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Solution

The fourth proportional to 3,588.64, 5,389.44 and 3,424.48 is: 5,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.64 : 5,389.44 = 3,424.48 : x
  2. Step 2: Convert to fraction form
    3,588.64/5,389.44 = 3,424.48/x
  3. Step 3: Cross multiply
    3,588.64x = 5,389.44 × 3,424.48
  4. Step 4: Simplify right side
    3,588.64x = 18,456,029.49
  5. Step 5: Solve for x
    x = 18,456,029.49/3,588.64
  6. Step 6: Final answer
    x = 5,142.90

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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.