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Finding the Fourth Proportional to 4,197.10, 5,796.21 and 3,458.38

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Solution

The fourth proportional to 4,197.10, 5,796.21 and 3,458.38 is: 4,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.10 : 5,796.21 = 3,458.38 : x
  2. Step 2: Convert to fraction form
    4,197.10/5,796.21 = 3,458.38/x
  3. Step 3: Cross multiply
    4,197.10x = 5,796.21 × 3,458.38
  4. Step 4: Simplify right side
    4,197.10x = 20,045,496.74
  5. Step 5: Solve for x
    x = 20,045,496.74/4,197.10
  6. Step 6: Final answer
    x = 4,776.04

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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.