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Finding the Fourth Proportional to 4,164, 6,241.14 and 2,314.23

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Solution

The fourth proportional to 4,164, 6,241.14 and 2,314.23 is: 3,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164 : 6,241.14 = 2,314.23 : x
  2. Step 2: Convert to fraction form
    4,164/6,241.14 = 2,314.23/x
  3. Step 3: Cross multiply
    4,164x = 6,241.14 × 2,314.23
  4. Step 4: Simplify right side
    4,164x = 14,443,433.42
  5. Step 5: Solve for x
    x = 14,443,433.42/4,164
  6. Step 6: Final answer
    x = 3,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.