Home / 3,470.75-5,200.96-2,082.46

Finding the Fourth Proportional to 3,470.75, 5,200.96 and 2,082.46

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Solution

The fourth proportional to 3,470.75, 5,200.96 and 2,082.46 is: 3,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.75 : 5,200.96 = 2,082.46 : x
  2. Step 2: Convert to fraction form
    3,470.75/5,200.96 = 2,082.46/x
  3. Step 3: Cross multiply
    3,470.75x = 5,200.96 × 2,082.46
  4. Step 4: Simplify right side
    3,470.75x = 10,830,791.16
  5. Step 5: Solve for x
    x = 10,830,791.16/3,470.75
  6. Step 6: Final answer
    x = 3,120.59

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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.