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Finding the Fourth Proportional to 3,688.99, 5,529.13 and 3,647.88

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Solution

The fourth proportional to 3,688.99, 5,529.13 and 3,647.88 is: 5,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.99 : 5,529.13 = 3,647.88 : x
  2. Step 2: Convert to fraction form
    3,688.99/5,529.13 = 3,647.88/x
  3. Step 3: Cross multiply
    3,688.99x = 5,529.13 × 3,647.88
  4. Step 4: Simplify right side
    3,688.99x = 20,169,593.62
  5. Step 5: Solve for x
    x = 20,169,593.62/3,688.99
  6. Step 6: Final answer
    x = 5,467.51

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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.