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Finding the Fourth Proportional to 5,976.36, 8,964.60 and 1,594.44

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Solution

The fourth proportional to 5,976.36, 8,964.60 and 1,594.44 is: 2,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.36 : 8,964.60 = 1,594.44 : x
  2. Step 2: Convert to fraction form
    5,976.36/8,964.60 = 1,594.44/x
  3. Step 3: Cross multiply
    5,976.36x = 8,964.60 × 1,594.44
  4. Step 4: Simplify right side
    5,976.36x = 14,293,516.82
  5. Step 5: Solve for x
    x = 14,293,516.82/5,976.36
  6. Step 6: Final answer
    x = 2,391.68

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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.