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Finding the Fourth Proportional to 3,698.50, 5,104.62 and 2,372.16

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Solution

The fourth proportional to 3,698.50, 5,104.62 and 2,372.16 is: 3,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.50 : 5,104.62 = 2,372.16 : x
  2. Step 2: Convert to fraction form
    3,698.50/5,104.62 = 2,372.16/x
  3. Step 3: Cross multiply
    3,698.50x = 5,104.62 × 2,372.16
  4. Step 4: Simplify right side
    3,698.50x = 12,108,975.38
  5. Step 5: Solve for x
    x = 12,108,975.38/3,698.50
  6. Step 6: Final answer
    x = 3,274.02

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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.