Home / 5,198.24-7,783.28-3,461.28

Finding the Fourth Proportional to 5,198.24, 7,783.28 and 3,461.28

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Solution

The fourth proportional to 5,198.24, 7,783.28 and 3,461.28 is: 5,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.24 : 7,783.28 = 3,461.28 : x
  2. Step 2: Convert to fraction form
    5,198.24/7,783.28 = 3,461.28/x
  3. Step 3: Cross multiply
    5,198.24x = 7,783.28 × 3,461.28
  4. Step 4: Simplify right side
    5,198.24x = 26,940,111.40
  5. Step 5: Solve for x
    x = 26,940,111.40/5,198.24
  6. Step 6: Final answer
    x = 5,182.54

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1.5x scale

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.