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Finding the Fourth Proportional to 5,730.36, 7,906.86 and 3,844.68

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Solution

The fourth proportional to 5,730.36, 7,906.86 and 3,844.68 is: 5,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.36 : 7,906.86 = 3,844.68 : x
  2. Step 2: Convert to fraction form
    5,730.36/7,906.86 = 3,844.68/x
  3. Step 3: Cross multiply
    5,730.36x = 7,906.86 × 3,844.68
  4. Step 4: Simplify right side
    5,730.36x = 30,399,346.50
  5. Step 5: Solve for x
    x = 30,399,346.50/5,730.36
  6. Step 6: Final answer
    x = 5,304.96

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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.