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Finding the Fourth Proportional to 3,894.13, 5,843.62 and 1,585.63

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Solution

The fourth proportional to 3,894.13, 5,843.62 and 1,585.63 is: 2,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.13 : 5,843.62 = 1,585.63 : x
  2. Step 2: Convert to fraction form
    3,894.13/5,843.62 = 1,585.63/x
  3. Step 3: Cross multiply
    3,894.13x = 5,843.62 × 1,585.63
  4. Step 4: Simplify right side
    3,894.13x = 9,265,819.18
  5. Step 5: Solve for x
    x = 9,265,819.18/3,894.13
  6. Step 6: Final answer
    x = 2,379.43

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1.5x scale

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.