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Finding the Fourth Proportional to 3,441.74, 5,162.60 and 976.56

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Solution

The fourth proportional to 3,441.74, 5,162.60 and 976.56 is: 1,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.74 : 5,162.60 = 976.56 : x
  2. Step 2: Convert to fraction form
    3,441.74/5,162.60 = 976.56/x
  3. Step 3: Cross multiply
    3,441.74x = 5,162.60 × 976.56
  4. Step 4: Simplify right side
    3,441.74x = 5,041,588.66
  5. Step 5: Solve for x
    x = 5,041,588.66/3,441.74
  6. Step 6: Final answer
    x = 1,464.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.