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Finding the Fourth Proportional to 4,197.42, 5,768.13 and 4,004.70

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Solution

The fourth proportional to 4,197.42, 5,768.13 and 4,004.70 is: 5,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.42 : 5,768.13 = 4,004.70 : x
  2. Step 2: Convert to fraction form
    4,197.42/5,768.13 = 4,004.70/x
  3. Step 3: Cross multiply
    4,197.42x = 5,768.13 × 4,004.70
  4. Step 4: Simplify right side
    4,197.42x = 23,099,630.21
  5. Step 5: Solve for x
    x = 23,099,630.21/4,197.42
  6. Step 6: Final answer
    x = 5,503.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.