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Finding the Fourth Proportional to 5,710.82, 7,883.76 and 3,589.43

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Solution

The fourth proportional to 5,710.82, 7,883.76 and 3,589.43 is: 4,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.82 : 7,883.76 = 3,589.43 : x
  2. Step 2: Convert to fraction form
    5,710.82/7,883.76 = 3,589.43/x
  3. Step 3: Cross multiply
    5,710.82x = 7,883.76 × 3,589.43
  4. Step 4: Simplify right side
    5,710.82x = 28,298,165.24
  5. Step 5: Solve for x
    x = 28,298,165.24/5,710.82
  6. Step 6: Final answer
    x = 4,955.19

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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.