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Finding the Fourth Proportional to 3,635.02, 5,452.52 and 1,295.10

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Solution

The fourth proportional to 3,635.02, 5,452.52 and 1,295.10 is: 1,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.02 : 5,452.52 = 1,295.10 : x
  2. Step 2: Convert to fraction form
    3,635.02/5,452.52 = 1,295.10/x
  3. Step 3: Cross multiply
    3,635.02x = 5,452.52 × 1,295.10
  4. Step 4: Simplify right side
    3,635.02x = 7,061,558.65
  5. Step 5: Solve for x
    x = 7,061,558.65/3,635.02
  6. Step 6: Final answer
    x = 1,942.65

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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.