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Finding the Fourth Proportional to 3,585.74, 5,379.27 and 1,611.32

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Solution

The fourth proportional to 3,585.74, 5,379.27 and 1,611.32 is: 2,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.74 : 5,379.27 = 1,611.32 : x
  2. Step 2: Convert to fraction form
    3,585.74/5,379.27 = 1,611.32/x
  3. Step 3: Cross multiply
    3,585.74x = 5,379.27 × 1,611.32
  4. Step 4: Simplify right side
    3,585.74x = 8,667,698.44
  5. Step 5: Solve for x
    x = 8,667,698.44/3,585.74
  6. Step 6: Final answer
    x = 2,417.27

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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.