Home / 5,206.07-7,806.27-2,567.80

Finding the Fourth Proportional to 5,206.07, 7,806.27 and 2,567.80

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Solution

The fourth proportional to 5,206.07, 7,806.27 and 2,567.80 is: 3,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.07 : 7,806.27 = 2,567.80 : x
  2. Step 2: Convert to fraction form
    5,206.07/7,806.27 = 2,567.80/x
  3. Step 3: Cross multiply
    5,206.07x = 7,806.27 × 2,567.80
  4. Step 4: Simplify right side
    5,206.07x = 20,044,959.49
  5. Step 5: Solve for x
    x = 20,044,959.49/5,206.07
  6. Step 6: Final answer
    x = 3,850.30

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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.