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Finding the Fourth Proportional to 3,528.96, 5,289.99 and 1,679.57

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Solution

The fourth proportional to 3,528.96, 5,289.99 and 1,679.57 is: 2,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.96 : 5,289.99 = 1,679.57 : x
  2. Step 2: Convert to fraction form
    3,528.96/5,289.99 = 1,679.57/x
  3. Step 3: Cross multiply
    3,528.96x = 5,289.99 × 1,679.57
  4. Step 4: Simplify right side
    3,528.96x = 8,884,908.50
  5. Step 5: Solve for x
    x = 8,884,908.50/3,528.96
  6. Step 6: Final answer
    x = 2,517.71

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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.