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Finding the Fourth Proportional to 5,682.70, 7,841.58 and 3,164.94

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Solution

The fourth proportional to 5,682.70, 7,841.58 and 3,164.94 is: 4,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.70 : 7,841.58 = 3,164.94 : x
  2. Step 2: Convert to fraction form
    5,682.70/7,841.58 = 3,164.94/x
  3. Step 3: Cross multiply
    5,682.70x = 7,841.58 × 3,164.94
  4. Step 4: Simplify right side
    5,682.70x = 24,818,130.21
  5. Step 5: Solve for x
    x = 24,818,130.21/5,682.70
  6. Step 6: Final answer
    x = 4,367.31

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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.