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Finding the Fourth Proportional to 3,536.36, 5,304.54 and 1,586.60

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Solution

The fourth proportional to 3,536.36, 5,304.54 and 1,586.60 is: 2,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.36 : 5,304.54 = 1,586.60 : x
  2. Step 2: Convert to fraction form
    3,536.36/5,304.54 = 1,586.60/x
  3. Step 3: Cross multiply
    3,536.36x = 5,304.54 × 1,586.60
  4. Step 4: Simplify right side
    3,536.36x = 8,416,183.16
  5. Step 5: Solve for x
    x = 8,416,183.16/3,536.36
  6. Step 6: Final answer
    x = 2,379.90

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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.