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Finding the Fourth Proportional to 5,905.64, 8,142.21 and 4,839.48

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Solution

The fourth proportional to 5,905.64, 8,142.21 and 4,839.48 is: 6,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.64 : 8,142.21 = 4,839.48 : x
  2. Step 2: Convert to fraction form
    5,905.64/8,142.21 = 4,839.48/x
  3. Step 3: Cross multiply
    5,905.64x = 8,142.21 × 4,839.48
  4. Step 4: Simplify right side
    5,905.64x = 39,404,062.45
  5. Step 5: Solve for x
    x = 39,404,062.45/5,905.64
  6. Step 6: Final answer
    x = 6,672.28

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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.