Home / 5,206-7,808.80-2,284.33

Finding the Fourth Proportional to 5,206, 7,808.80 and 2,284.33

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Solution

The fourth proportional to 5,206, 7,808.80 and 2,284.33 is: 3,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 7,808.80 = 2,284.33 : x
  2. Step 2: Convert to fraction form
    5,206/7,808.80 = 2,284.33/x
  3. Step 3: Cross multiply
    5,206x = 7,808.80 × 2,284.33
  4. Step 4: Simplify right side
    5,206x = 17,837,876.10
  5. Step 5: Solve for x
    x = 17,837,876.10/5,206
  6. Step 6: Final answer
    x = 3,426.41

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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.