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Finding the Fourth Proportional to 5,114.75, 7,673.22 and 2,036.75

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Solution

The fourth proportional to 5,114.75, 7,673.22 and 2,036.75 is: 3,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.75 : 7,673.22 = 2,036.75 : x
  2. Step 2: Convert to fraction form
    5,114.75/7,673.22 = 2,036.75/x
  3. Step 3: Cross multiply
    5,114.75x = 7,673.22 × 2,036.75
  4. Step 4: Simplify right side
    5,114.75x = 15,628,430.84
  5. Step 5: Solve for x
    x = 15,628,430.84/5,114.75
  6. Step 6: Final answer
    x = 3,055.56

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1.5x scale

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.