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Finding the Fourth Proportional to 5,457.84, 8,187.96 and 1,995

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Solution

The fourth proportional to 5,457.84, 8,187.96 and 1,995 is: 2,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.84 : 8,187.96 = 1,995 : x
  2. Step 2: Convert to fraction form
    5,457.84/8,187.96 = 1,995/x
  3. Step 3: Cross multiply
    5,457.84x = 8,187.96 × 1,995
  4. Step 4: Simplify right side
    5,457.84x = 16,334,980.20
  5. Step 5: Solve for x
    x = 16,334,980.20/5,457.84
  6. Step 6: Final answer
    x = 2,992.94

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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.