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Finding the Fourth Proportional to 3,971.39, 5,475.47 and 2,838.42

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Solution

The fourth proportional to 3,971.39, 5,475.47 and 2,838.42 is: 3,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.39 : 5,475.47 = 2,838.42 : x
  2. Step 2: Convert to fraction form
    3,971.39/5,475.47 = 2,838.42/x
  3. Step 3: Cross multiply
    3,971.39x = 5,475.47 × 2,838.42
  4. Step 4: Simplify right side
    3,971.39x = 15,541,669.37
  5. Step 5: Solve for x
    x = 15,541,669.37/3,971.39
  6. Step 6: Final answer
    x = 3,913.41

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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.