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Finding the Fourth Proportional to 5,970.72, 8,241.84 and 4,294.56

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Solution

The fourth proportional to 5,970.72, 8,241.84 and 4,294.56 is: 5,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.72 : 8,241.84 = 4,294.56 : x
  2. Step 2: Convert to fraction form
    5,970.72/8,241.84 = 4,294.56/x
  3. Step 3: Cross multiply
    5,970.72x = 8,241.84 × 4,294.56
  4. Step 4: Simplify right side
    5,970.72x = 35,395,076.39
  5. Step 5: Solve for x
    x = 35,395,076.39/5,970.72
  6. Step 6: Final answer
    x = 5,928.11

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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.