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Finding the Fourth Proportional to 5,673.87, 8,505.34 and 3,820.84

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Solution

The fourth proportional to 5,673.87, 8,505.34 and 3,820.84 is: 5,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.87 : 8,505.34 = 3,820.84 : x
  2. Step 2: Convert to fraction form
    5,673.87/8,505.34 = 3,820.84/x
  3. Step 3: Cross multiply
    5,673.87x = 8,505.34 × 3,820.84
  4. Step 4: Simplify right side
    5,673.87x = 32,497,512.47
  5. Step 5: Solve for x
    x = 32,497,512.47/5,673.87
  6. Step 6: Final answer
    x = 5,727.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.