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Finding the Fourth Proportional to 3,475.92, 4,800 and 2,236.08

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Solution

The fourth proportional to 3,475.92, 4,800 and 2,236.08 is: 3,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.92 : 4,800 = 2,236.08 : x
  2. Step 2: Convert to fraction form
    3,475.92/4,800 = 2,236.08/x
  3. Step 3: Cross multiply
    3,475.92x = 4,800 × 2,236.08
  4. Step 4: Simplify right side
    3,475.92x = 10,733,184
  5. Step 5: Solve for x
    x = 10,733,184/3,475.92
  6. Step 6: Final answer
    x = 3,087.87

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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.