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Finding the Fourth Proportional to 3,766.13, 5,647.42 and 1,393.44

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Solution

The fourth proportional to 3,766.13, 5,647.42 and 1,393.44 is: 2,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.13 : 5,647.42 = 1,393.44 : x
  2. Step 2: Convert to fraction form
    3,766.13/5,647.42 = 1,393.44/x
  3. Step 3: Cross multiply
    3,766.13x = 5,647.42 × 1,393.44
  4. Step 4: Simplify right side
    3,766.13x = 7,869,340.92
  5. Step 5: Solve for x
    x = 7,869,340.92/3,766.13
  6. Step 6: Final answer
    x = 2,089.50

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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.