Home / 3,698.56-5,549.10-1,966

Finding the Fourth Proportional to 3,698.56, 5,549.10 and 1,966

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Solution

The fourth proportional to 3,698.56, 5,549.10 and 1,966 is: 2,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.56 : 5,549.10 = 1,966 : x
  2. Step 2: Convert to fraction form
    3,698.56/5,549.10 = 1,966/x
  3. Step 3: Cross multiply
    3,698.56x = 5,549.10 × 1,966
  4. Step 4: Simplify right side
    3,698.56x = 10,909,530.60
  5. Step 5: Solve for x
    x = 10,909,530.60/3,698.56
  6. Step 6: Final answer
    x = 2,949.67

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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.