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Finding the Fourth Proportional to 3,441.57, 5,162.64 and 976.59

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Solution

The fourth proportional to 3,441.57, 5,162.64 and 976.59 is: 1,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.57 : 5,162.64 = 976.59 : x
  2. Step 2: Convert to fraction form
    3,441.57/5,162.64 = 976.59/x
  3. Step 3: Cross multiply
    3,441.57x = 5,162.64 × 976.59
  4. Step 4: Simplify right side
    3,441.57x = 5,041,782.60
  5. Step 5: Solve for x
    x = 5,041,782.60/3,441.57
  6. Step 6: Final answer
    x = 1,464.97

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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.