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Finding the Fourth Proportional to 3,455.73, 5,185.37 and 1,509.27

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Solution

The fourth proportional to 3,455.73, 5,185.37 and 1,509.27 is: 2,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.73 : 5,185.37 = 1,509.27 : x
  2. Step 2: Convert to fraction form
    3,455.73/5,185.37 = 1,509.27/x
  3. Step 3: Cross multiply
    3,455.73x = 5,185.37 × 1,509.27
  4. Step 4: Simplify right side
    3,455.73x = 7,826,115.83
  5. Step 5: Solve for x
    x = 7,826,115.83/3,455.73
  6. Step 6: Final answer
    x = 2,264.68

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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.