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Finding the Fourth Proportional to 3,782.75, 5,674.09 and 971.57

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Solution

The fourth proportional to 3,782.75, 5,674.09 and 971.57 is: 1,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.75 : 5,674.09 = 971.57 : x
  2. Step 2: Convert to fraction form
    3,782.75/5,674.09 = 971.57/x
  3. Step 3: Cross multiply
    3,782.75x = 5,674.09 × 971.57
  4. Step 4: Simplify right side
    3,782.75x = 5,512,771.87
  5. Step 5: Solve for x
    x = 5,512,771.87/3,782.75
  6. Step 6: Final answer
    x = 1,457.34

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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.