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Finding the Fourth Proportional to 4,860.14, 6,706.98 and 2,764.26

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Solution

The fourth proportional to 4,860.14, 6,706.98 and 2,764.26 is: 3,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.14 : 6,706.98 = 2,764.26 : x
  2. Step 2: Convert to fraction form
    4,860.14/6,706.98 = 2,764.26/x
  3. Step 3: Cross multiply
    4,860.14x = 6,706.98 × 2,764.26
  4. Step 4: Simplify right side
    4,860.14x = 18,539,836.53
  5. Step 5: Solve for x
    x = 18,539,836.53/4,860.14
  6. Step 6: Final answer
    x = 3,814.67

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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.