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Finding the Fourth Proportional to 4,261.42, 5,868.06 and 4,164.38

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Solution

The fourth proportional to 4,261.42, 5,868.06 and 4,164.38 is: 5,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.42 : 5,868.06 = 4,164.38 : x
  2. Step 2: Convert to fraction form
    4,261.42/5,868.06 = 4,164.38/x
  3. Step 3: Cross multiply
    4,261.42x = 5,868.06 × 4,164.38
  4. Step 4: Simplify right side
    4,261.42x = 24,436,831.70
  5. Step 5: Solve for x
    x = 24,436,831.70/4,261.42
  6. Step 6: Final answer
    x = 5,734.43

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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.