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Finding the Fourth Proportional to 3,311.84, 4,968.48 and 2,315.36

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Solution

The fourth proportional to 3,311.84, 4,968.48 and 2,315.36 is: 3,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.84 : 4,968.48 = 2,315.36 : x
  2. Step 2: Convert to fraction form
    3,311.84/4,968.48 = 2,315.36/x
  3. Step 3: Cross multiply
    3,311.84x = 4,968.48 × 2,315.36
  4. Step 4: Simplify right side
    3,311.84x = 11,503,819.85
  5. Step 5: Solve for x
    x = 11,503,819.85/3,311.84
  6. Step 6: Final answer
    x = 3,473.54

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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.