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Finding the Fourth Proportional to 4,617.12, 6,368.94 and 2,847.48

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Solution

The fourth proportional to 4,617.12, 6,368.94 and 2,847.48 is: 3,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.12 : 6,368.94 = 2,847.48 : x
  2. Step 2: Convert to fraction form
    4,617.12/6,368.94 = 2,847.48/x
  3. Step 3: Cross multiply
    4,617.12x = 6,368.94 × 2,847.48
  4. Step 4: Simplify right side
    4,617.12x = 18,135,429.27
  5. Step 5: Solve for x
    x = 18,135,429.27/4,617.12
  6. Step 6: Final answer
    x = 3,927.87

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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.