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Finding the Fourth Proportional to 5,457.24, 8,184.24 and 1,994.76

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Solution

The fourth proportional to 5,457.24, 8,184.24 and 1,994.76 is: 2,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.24 : 8,184.24 = 1,994.76 : x
  2. Step 2: Convert to fraction form
    5,457.24/8,184.24 = 1,994.76/x
  3. Step 3: Cross multiply
    5,457.24x = 8,184.24 × 1,994.76
  4. Step 4: Simplify right side
    5,457.24x = 16,325,594.58
  5. Step 5: Solve for x
    x = 16,325,594.58/5,457.24
  6. Step 6: Final answer
    x = 2,991.55

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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.