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Finding the Fourth Proportional to 5,600.44, 7,730.22 and 3,742.84

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Solution

The fourth proportional to 5,600.44, 7,730.22 and 3,742.84 is: 5,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.44 : 7,730.22 = 3,742.84 : x
  2. Step 2: Convert to fraction form
    5,600.44/7,730.22 = 3,742.84/x
  3. Step 3: Cross multiply
    5,600.44x = 7,730.22 × 3,742.84
  4. Step 4: Simplify right side
    5,600.44x = 28,932,976.62
  5. Step 5: Solve for x
    x = 28,932,976.62/5,600.44
  6. Step 6: Final answer
    x = 5,166.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.