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Finding the Fourth Proportional to 6,454.56, 8,911.44 and 3,972

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Solution

The fourth proportional to 6,454.56, 8,911.44 and 3,972 is: 5,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.56 : 8,911.44 = 3,972 : x
  2. Step 2: Convert to fraction form
    6,454.56/8,911.44 = 3,972/x
  3. Step 3: Cross multiply
    6,454.56x = 8,911.44 × 3,972
  4. Step 4: Simplify right side
    6,454.56x = 35,396,239.68
  5. Step 5: Solve for x
    x = 35,396,239.68/6,454.56
  6. Step 6: Final answer
    x = 5,483.91

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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.