Home / 5,206.24-7,807.92-2,283.80

Finding the Fourth Proportional to 5,206.24, 7,807.92 and 2,283.80

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Solution

The fourth proportional to 5,206.24, 7,807.92 and 2,283.80 is: 3,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.24 : 7,807.92 = 2,283.80 : x
  2. Step 2: Convert to fraction form
    5,206.24/7,807.92 = 2,283.80/x
  3. Step 3: Cross multiply
    5,206.24x = 7,807.92 × 2,283.80
  4. Step 4: Simplify right side
    5,206.24x = 17,831,727.70
  5. Step 5: Solve for x
    x = 17,831,727.70/5,206.24
  6. Step 6: Final answer
    x = 3,425.07

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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.