Home / 3,106.38-4,286.49-1,762.05

Finding the Fourth Proportional to 3,106.38, 4,286.49 and 1,762.05

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Solution

The fourth proportional to 3,106.38, 4,286.49 and 1,762.05 is: 2,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.38 : 4,286.49 = 1,762.05 : x
  2. Step 2: Convert to fraction form
    3,106.38/4,286.49 = 1,762.05/x
  3. Step 3: Cross multiply
    3,106.38x = 4,286.49 × 1,762.05
  4. Step 4: Simplify right side
    3,106.38x = 7,553,009.70
  5. Step 5: Solve for x
    x = 7,553,009.70/3,106.38
  6. Step 6: Final answer
    x = 2,431.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.