Home / 5,097.25-7,642.84-1,764.41

Finding the Fourth Proportional to 5,097.25, 7,642.84 and 1,764.41

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Solution

The fourth proportional to 5,097.25, 7,642.84 and 1,764.41 is: 2,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.25 : 7,642.84 = 1,764.41 : x
  2. Step 2: Convert to fraction form
    5,097.25/7,642.84 = 1,764.41/x
  3. Step 3: Cross multiply
    5,097.25x = 7,642.84 × 1,764.41
  4. Step 4: Simplify right side
    5,097.25x = 13,485,103.32
  5. Step 5: Solve for x
    x = 13,485,103.32/5,097.25
  6. Step 6: Final answer
    x = 2,645.56

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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.