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Finding the Fourth Proportional to 3,893.76, 5,834.76 and 3,164.76

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Solution

The fourth proportional to 3,893.76, 5,834.76 and 3,164.76 is: 4,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.76 : 5,834.76 = 3,164.76 : x
  2. Step 2: Convert to fraction form
    3,893.76/5,834.76 = 3,164.76/x
  3. Step 3: Cross multiply
    3,893.76x = 5,834.76 × 3,164.76
  4. Step 4: Simplify right side
    3,893.76x = 18,465,615.06
  5. Step 5: Solve for x
    x = 18,465,615.06/3,893.76
  6. Step 6: Final answer
    x = 4,742.36

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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.