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Finding the Fourth Proportional to 3,441.52, 5,162.26 and 1,133

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Solution

The fourth proportional to 3,441.52, 5,162.26 and 1,133 is: 1,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.52 : 5,162.26 = 1,133 : x
  2. Step 2: Convert to fraction form
    3,441.52/5,162.26 = 1,133/x
  3. Step 3: Cross multiply
    3,441.52x = 5,162.26 × 1,133
  4. Step 4: Simplify right side
    3,441.52x = 5,848,840.58
  5. Step 5: Solve for x
    x = 5,848,840.58/3,441.52
  6. Step 6: Final answer
    x = 1,699.49

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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.