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Finding the Fourth Proportional to 3,429.42, 5,144.10 and 964.25

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Solution

The fourth proportional to 3,429.42, 5,144.10 and 964.25 is: 1,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.42 : 5,144.10 = 964.25 : x
  2. Step 2: Convert to fraction form
    3,429.42/5,144.10 = 964.25/x
  3. Step 3: Cross multiply
    3,429.42x = 5,144.10 × 964.25
  4. Step 4: Simplify right side
    3,429.42x = 4,960,172.70
  5. Step 5: Solve for x
    x = 4,960,172.70/3,429.42
  6. Step 6: Final answer
    x = 1,446.36

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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.