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Finding the Fourth Proportional to 5,971.39, 8,241.41 and 4,298.33

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Solution

The fourth proportional to 5,971.39, 8,241.41 and 4,298.33 is: 5,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.39 : 8,241.41 = 4,298.33 : x
  2. Step 2: Convert to fraction form
    5,971.39/8,241.41 = 4,298.33/x
  3. Step 3: Cross multiply
    5,971.39x = 8,241.41 × 4,298.33
  4. Step 4: Simplify right side
    5,971.39x = 35,424,331.19
  5. Step 5: Solve for x
    x = 35,424,331.19/5,971.39
  6. Step 6: Final answer
    x = 5,932.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.