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Finding the Fourth Proportional to 5,710.80, 7,884.56 and 3,589.22

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Solution

The fourth proportional to 5,710.80, 7,884.56 and 3,589.22 is: 4,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.80 : 7,884.56 = 3,589.22 : x
  2. Step 2: Convert to fraction form
    5,710.80/7,884.56 = 3,589.22/x
  3. Step 3: Cross multiply
    5,710.80x = 7,884.56 × 3,589.22
  4. Step 4: Simplify right side
    5,710.80x = 28,299,420.44
  5. Step 5: Solve for x
    x = 28,299,420.44/5,710.80
  6. Step 6: Final answer
    x = 4,955.42

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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.