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Finding the Fourth Proportional to 3,682.40, 5,523.68 and 946.40

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Solution

The fourth proportional to 3,682.40, 5,523.68 and 946.40 is: 1,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.40 : 5,523.68 = 946.40 : x
  2. Step 2: Convert to fraction form
    3,682.40/5,523.68 = 946.40/x
  3. Step 3: Cross multiply
    3,682.40x = 5,523.68 × 946.40
  4. Step 4: Simplify right side
    3,682.40x = 5,227,610.75
  5. Step 5: Solve for x
    x = 5,227,610.75/3,682.40
  6. Step 6: Final answer
    x = 1,419.62

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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.