Home / 5,209.10-7,814.56-2,289.46

Finding the Fourth Proportional to 5,209.10, 7,814.56 and 2,289.46

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Solution

The fourth proportional to 5,209.10, 7,814.56 and 2,289.46 is: 3,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.10 : 7,814.56 = 2,289.46 : x
  2. Step 2: Convert to fraction form
    5,209.10/7,814.56 = 2,289.46/x
  3. Step 3: Cross multiply
    5,209.10x = 7,814.56 × 2,289.46
  4. Step 4: Simplify right side
    5,209.10x = 17,891,122.54
  5. Step 5: Solve for x
    x = 17,891,122.54/5,209.10
  6. Step 6: Final answer
    x = 3,434.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.