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Finding the Fourth Proportional to 4,164.54, 5,716.98 and 3,574.06

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Solution

The fourth proportional to 4,164.54, 5,716.98 and 3,574.06 is: 4,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.54 : 5,716.98 = 3,574.06 : x
  2. Step 2: Convert to fraction form
    4,164.54/5,716.98 = 3,574.06/x
  3. Step 3: Cross multiply
    4,164.54x = 5,716.98 × 3,574.06
  4. Step 4: Simplify right side
    4,164.54x = 20,432,829.54
  5. Step 5: Solve for x
    x = 20,432,829.54/4,164.54
  6. Step 6: Final answer
    x = 4,906.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.