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Finding the Fourth Proportional to 5,969.52, 8,955.70 and 2,020.70

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Solution

The fourth proportional to 5,969.52, 8,955.70 and 2,020.70 is: 3,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.52 : 8,955.70 = 2,020.70 : x
  2. Step 2: Convert to fraction form
    5,969.52/8,955.70 = 2,020.70/x
  3. Step 3: Cross multiply
    5,969.52x = 8,955.70 × 2,020.70
  4. Step 4: Simplify right side
    5,969.52x = 18,096,800.33
  5. Step 5: Solve for x
    x = 18,096,800.33/5,969.52
  6. Step 6: Final answer
    x = 3,031.53

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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.