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Finding the Fourth Proportional to 5,945.64, 8,206.20 and 3,428.52

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Solution

The fourth proportional to 5,945.64, 8,206.20 and 3,428.52 is: 4,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.64 : 8,206.20 = 3,428.52 : x
  2. Step 2: Convert to fraction form
    5,945.64/8,206.20 = 3,428.52/x
  3. Step 3: Cross multiply
    5,945.64x = 8,206.20 × 3,428.52
  4. Step 4: Simplify right side
    5,945.64x = 28,135,120.82
  5. Step 5: Solve for x
    x = 28,135,120.82/5,945.64
  6. Step 6: Final answer
    x = 4,732.06

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1.5x scale

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.