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Finding the Fourth Proportional to 6,456.44, 8,907.18 and 3,971

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Solution

The fourth proportional to 6,456.44, 8,907.18 and 3,971 is: 5,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.44 : 8,907.18 = 3,971 : x
  2. Step 2: Convert to fraction form
    6,456.44/8,907.18 = 3,971/x
  3. Step 3: Cross multiply
    6,456.44x = 8,907.18 × 3,971
  4. Step 4: Simplify right side
    6,456.44x = 35,370,411.78
  5. Step 5: Solve for x
    x = 35,370,411.78/6,456.44
  6. Step 6: Final answer
    x = 5,478.31

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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.