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Finding the Fourth Proportional to 5,771.34, 7,965.81 and 3,674.25

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Solution

The fourth proportional to 5,771.34, 7,965.81 and 3,674.25 is: 5,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.34 : 7,965.81 = 3,674.25 : x
  2. Step 2: Convert to fraction form
    5,771.34/7,965.81 = 3,674.25/x
  3. Step 3: Cross multiply
    5,771.34x = 7,965.81 × 3,674.25
  4. Step 4: Simplify right side
    5,771.34x = 29,268,377.39
  5. Step 5: Solve for x
    x = 29,268,377.39/5,771.34
  6. Step 6: Final answer
    x = 5,071.33

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1.5x scale

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.