Home / 5,202-7,168.86-3,627.36

Finding the Fourth Proportional to 5,202, 7,168.86 and 3,627.36

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Solution

The fourth proportional to 5,202, 7,168.86 and 3,627.36 is: 4,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,168.86 = 3,627.36 : x
  2. Step 2: Convert to fraction form
    5,202/7,168.86 = 3,627.36/x
  3. Step 3: Cross multiply
    5,202x = 7,168.86 × 3,627.36
  4. Step 4: Simplify right side
    5,202x = 26,004,036.01
  5. Step 5: Solve for x
    x = 26,004,036.01/5,202
  6. Step 6: Final answer
    x = 4,998.85

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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.