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Finding the Fourth Proportional to 3,847.85, 5,774.01 and 3,816.53

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Solution

The fourth proportional to 3,847.85, 5,774.01 and 3,816.53 is: 5,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.85 : 5,774.01 = 3,816.53 : x
  2. Step 2: Convert to fraction form
    3,847.85/5,774.01 = 3,816.53/x
  3. Step 3: Cross multiply
    3,847.85x = 5,774.01 × 3,816.53
  4. Step 4: Simplify right side
    3,847.85x = 22,036,660.86
  5. Step 5: Solve for x
    x = 22,036,660.86/3,847.85
  6. Step 6: Final answer
    x = 5,727.01

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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.