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Finding the Fourth Proportional to 4,659.12, 6,991.11 and 1,887.84

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Solution

The fourth proportional to 4,659.12, 6,991.11 and 1,887.84 is: 2,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.12 : 6,991.11 = 1,887.84 : x
  2. Step 2: Convert to fraction form
    4,659.12/6,991.11 = 1,887.84/x
  3. Step 3: Cross multiply
    4,659.12x = 6,991.11 × 1,887.84
  4. Step 4: Simplify right side
    4,659.12x = 13,198,097.10
  5. Step 5: Solve for x
    x = 13,198,097.10/4,659.12
  6. Step 6: Final answer
    x = 2,832.74

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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.