Home / 5,106.72-7,660.80-2,028

Finding the Fourth Proportional to 5,106.72, 7,660.80 and 2,028

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Solution

The fourth proportional to 5,106.72, 7,660.80 and 2,028 is: 3,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.72 : 7,660.80 = 2,028 : x
  2. Step 2: Convert to fraction form
    5,106.72/7,660.80 = 2,028/x
  3. Step 3: Cross multiply
    5,106.72x = 7,660.80 × 2,028
  4. Step 4: Simplify right side
    5,106.72x = 15,536,102.40
  5. Step 5: Solve for x
    x = 15,536,102.40/5,106.72
  6. Step 6: Final answer
    x = 3,042.29

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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.