Home / 5,202.48-7,807.82-2,282.80

Finding the Fourth Proportional to 5,202.48, 7,807.82 and 2,282.80

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Solution

The fourth proportional to 5,202.48, 7,807.82 and 2,282.80 is: 3,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.48 : 7,807.82 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    5,202.48/7,807.82 = 2,282.80/x
  3. Step 3: Cross multiply
    5,202.48x = 7,807.82 × 2,282.80
  4. Step 4: Simplify right side
    5,202.48x = 17,823,691.50
  5. Step 5: Solve for x
    x = 17,823,691.50/5,202.48
  6. Step 6: Final answer
    x = 3,426.00

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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.