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Finding the Fourth Proportional to 3,429.60, 5,144.43 and 964.47

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Solution

The fourth proportional to 3,429.60, 5,144.43 and 964.47 is: 1,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.60 : 5,144.43 = 964.47 : x
  2. Step 2: Convert to fraction form
    3,429.60/5,144.43 = 964.47/x
  3. Step 3: Cross multiply
    3,429.60x = 5,144.43 × 964.47
  4. Step 4: Simplify right side
    3,429.60x = 4,961,648.40
  5. Step 5: Solve for x
    x = 4,961,648.40/3,429.60
  6. Step 6: Final answer
    x = 1,446.71

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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.