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Finding the Fourth Proportional to 3,682.18, 5,523.09 and 1,373.50

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Solution

The fourth proportional to 3,682.18, 5,523.09 and 1,373.50 is: 2,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.18 : 5,523.09 = 1,373.50 : x
  2. Step 2: Convert to fraction form
    3,682.18/5,523.09 = 1,373.50/x
  3. Step 3: Cross multiply
    3,682.18x = 5,523.09 × 1,373.50
  4. Step 4: Simplify right side
    3,682.18x = 7,585,964.12
  5. Step 5: Solve for x
    x = 7,585,964.12/3,682.18
  6. Step 6: Final answer
    x = 2,060.18

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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.