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Finding the Fourth Proportional to 3,924.05, 5,913.64 and 3,534.54

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Solution

The fourth proportional to 3,924.05, 5,913.64 and 3,534.54 is: 5,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.05 : 5,913.64 = 3,534.54 : x
  2. Step 2: Convert to fraction form
    3,924.05/5,913.64 = 3,534.54/x
  3. Step 3: Cross multiply
    3,924.05x = 5,913.64 × 3,534.54
  4. Step 4: Simplify right side
    3,924.05x = 20,901,997.13
  5. Step 5: Solve for x
    x = 20,901,997.13/3,924.05
  6. Step 6: Final answer
    x = 5,326.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.