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Finding the Fourth Proportional to 3,564.87, 4,919.79 and 2,624.96

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Solution

The fourth proportional to 3,564.87, 4,919.79 and 2,624.96 is: 3,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.87 : 4,919.79 = 2,624.96 : x
  2. Step 2: Convert to fraction form
    3,564.87/4,919.79 = 2,624.96/x
  3. Step 3: Cross multiply
    3,564.87x = 4,919.79 × 2,624.96
  4. Step 4: Simplify right side
    3,564.87x = 12,914,227.36
  5. Step 5: Solve for x
    x = 12,914,227.36/3,564.87
  6. Step 6: Final answer
    x = 3,622.64

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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.