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Finding the Fourth Proportional to 3,672.73, 5,509.10 and 3,022.10

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Solution

The fourth proportional to 3,672.73, 5,509.10 and 3,022.10 is: 4,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.73 : 5,509.10 = 3,022.10 : x
  2. Step 2: Convert to fraction form
    3,672.73/5,509.10 = 3,022.10/x
  3. Step 3: Cross multiply
    3,672.73x = 5,509.10 × 3,022.10
  4. Step 4: Simplify right side
    3,672.73x = 16,649,051.11
  5. Step 5: Solve for x
    x = 16,649,051.11/3,672.73
  6. Step 6: Final answer
    x = 4,533.15

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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.