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Finding the Fourth Proportional to 3,676.56, 5,069.18 and 3,202.71

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Solution

The fourth proportional to 3,676.56, 5,069.18 and 3,202.71 is: 4,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.56 : 5,069.18 = 3,202.71 : x
  2. Step 2: Convert to fraction form
    3,676.56/5,069.18 = 3,202.71/x
  3. Step 3: Cross multiply
    3,676.56x = 5,069.18 × 3,202.71
  4. Step 4: Simplify right side
    3,676.56x = 16,235,097.46
  5. Step 5: Solve for x
    x = 16,235,097.46/3,676.56
  6. Step 6: Final answer
    x = 4,415.84

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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.