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Finding the Fourth Proportional to 3,664.37, 5,495.99 and 1,199.14

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Solution

The fourth proportional to 3,664.37, 5,495.99 and 1,199.14 is: 1,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.37 : 5,495.99 = 1,199.14 : x
  2. Step 2: Convert to fraction form
    3,664.37/5,495.99 = 1,199.14/x
  3. Step 3: Cross multiply
    3,664.37x = 5,495.99 × 1,199.14
  4. Step 4: Simplify right side
    3,664.37x = 6,590,441.71
  5. Step 5: Solve for x
    x = 6,590,441.71/3,664.37
  6. Step 6: Final answer
    x = 1,798.52

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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.