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Finding the Fourth Proportional to 4,684.66, 6,466.23 and 2,797.56

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Solution

The fourth proportional to 4,684.66, 6,466.23 and 2,797.56 is: 3,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.66 : 6,466.23 = 2,797.56 : x
  2. Step 2: Convert to fraction form
    4,684.66/6,466.23 = 2,797.56/x
  3. Step 3: Cross multiply
    4,684.66x = 6,466.23 × 2,797.56
  4. Step 4: Simplify right side
    4,684.66x = 18,089,666.40
  5. Step 5: Solve for x
    x = 18,089,666.40/4,684.66
  6. Step 6: Final answer
    x = 3,861.47

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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.