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Finding the Fourth Proportional to 3,894.87, 5,830.97 and 2,041.59

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Solution

The fourth proportional to 3,894.87, 5,830.97 and 2,041.59 is: 3,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.87 : 5,830.97 = 2,041.59 : x
  2. Step 2: Convert to fraction form
    3,894.87/5,830.97 = 2,041.59/x
  3. Step 3: Cross multiply
    3,894.87x = 5,830.97 × 2,041.59
  4. Step 4: Simplify right side
    3,894.87x = 11,904,439.83
  5. Step 5: Solve for x
    x = 11,904,439.83/3,894.87
  6. Step 6: Final answer
    x = 3,056.44

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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.