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Finding the Fourth Proportional to 6,458.31, 8,912.48 and 4,223.97

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Solution

The fourth proportional to 6,458.31, 8,912.48 and 4,223.97 is: 5,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.31 : 8,912.48 = 4,223.97 : x
  2. Step 2: Convert to fraction form
    6,458.31/8,912.48 = 4,223.97/x
  3. Step 3: Cross multiply
    6,458.31x = 8,912.48 × 4,223.97
  4. Step 4: Simplify right side
    6,458.31x = 37,646,027.03
  5. Step 5: Solve for x
    x = 37,646,027.03/6,458.31
  6. Step 6: Final answer
    x = 5,829.08

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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.