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Finding the Fourth Proportional to 4,466.56, 6,739.84 and 4,286.74

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Solution

The fourth proportional to 4,466.56, 6,739.84 and 4,286.74 is: 6,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.56 : 6,739.84 = 4,286.74 : x
  2. Step 2: Convert to fraction form
    4,466.56/6,739.84 = 4,286.74/x
  3. Step 3: Cross multiply
    4,466.56x = 6,739.84 × 4,286.74
  4. Step 4: Simplify right side
    4,466.56x = 28,891,941.72
  5. Step 5: Solve for x
    x = 28,891,941.72/4,466.56
  6. Step 6: Final answer
    x = 6,468.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.