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Finding the Fourth Proportional to 3,894.62, 5,844.27 and 1,429.70

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Solution

The fourth proportional to 3,894.62, 5,844.27 and 1,429.70 is: 2,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.62 : 5,844.27 = 1,429.70 : x
  2. Step 2: Convert to fraction form
    3,894.62/5,844.27 = 1,429.70/x
  3. Step 3: Cross multiply
    3,894.62x = 5,844.27 × 1,429.70
  4. Step 4: Simplify right side
    3,894.62x = 8,355,523.60
  5. Step 5: Solve for x
    x = 8,355,523.60/3,894.62
  6. Step 6: Final answer
    x = 2,145.40

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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.