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Finding the Fourth Proportional to 6,458.33, 8,909.80 and 3,938.42

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Solution

The fourth proportional to 6,458.33, 8,909.80 and 3,938.42 is: 5,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.33 : 8,909.80 = 3,938.42 : x
  2. Step 2: Convert to fraction form
    6,458.33/8,909.80 = 3,938.42/x
  3. Step 3: Cross multiply
    6,458.33x = 8,909.80 × 3,938.42
  4. Step 4: Simplify right side
    6,458.33x = 35,090,546.94
  5. Step 5: Solve for x
    x = 35,090,546.94/6,458.33
  6. Step 6: Final answer
    x = 5,433.38

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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.