Home / 5,209-7,816.30-3,022.04

Finding the Fourth Proportional to 5,209, 7,816.30 and 3,022.04

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Solution

The fourth proportional to 5,209, 7,816.30 and 3,022.04 is: 4,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209 : 7,816.30 = 3,022.04 : x
  2. Step 2: Convert to fraction form
    5,209/7,816.30 = 3,022.04/x
  3. Step 3: Cross multiply
    5,209x = 7,816.30 × 3,022.04
  4. Step 4: Simplify right side
    5,209x = 23,621,171.25
  5. Step 5: Solve for x
    x = 23,621,171.25/5,209
  6. Step 6: Final answer
    x = 4,534.68

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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.