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Finding the Fourth Proportional to 3,682.80, 5,523.02 and 1,217.01

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Solution

The fourth proportional to 3,682.80, 5,523.02 and 1,217.01 is: 1,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.80 : 5,523.02 = 1,217.01 : x
  2. Step 2: Convert to fraction form
    3,682.80/5,523.02 = 1,217.01/x
  3. Step 3: Cross multiply
    3,682.80x = 5,523.02 × 1,217.01
  4. Step 4: Simplify right side
    3,682.80x = 6,721,570.57
  5. Step 5: Solve for x
    x = 6,721,570.57/3,682.80
  6. Step 6: Final answer
    x = 1,825.13

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1.5x scale

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.