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Finding the Fourth Proportional to 3,605.30, 5,410.99 and 1,415.57

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Solution

The fourth proportional to 3,605.30, 5,410.99 and 1,415.57 is: 2,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.30 : 5,410.99 = 1,415.57 : x
  2. Step 2: Convert to fraction form
    3,605.30/5,410.99 = 1,415.57/x
  3. Step 3: Cross multiply
    3,605.30x = 5,410.99 × 1,415.57
  4. Step 4: Simplify right side
    3,605.30x = 7,659,604.52
  5. Step 5: Solve for x
    x = 7,659,604.52/3,605.30
  6. Step 6: Final answer
    x = 2,124.54

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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.