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Finding the Fourth Proportional to 5,457.56, 8,184.72 and 1,994

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Solution

The fourth proportional to 5,457.56, 8,184.72 and 1,994 is: 2,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.56 : 8,184.72 = 1,994 : x
  2. Step 2: Convert to fraction form
    5,457.56/8,184.72 = 1,994/x
  3. Step 3: Cross multiply
    5,457.56x = 8,184.72 × 1,994
  4. Step 4: Simplify right side
    5,457.56x = 16,320,331.68
  5. Step 5: Solve for x
    x = 16,320,331.68/5,457.56
  6. Step 6: Final answer
    x = 2,990.41

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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.