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Finding the Fourth Proportional to 4,642.76, 6,403.44 and 3,226.43

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Solution

The fourth proportional to 4,642.76, 6,403.44 and 3,226.43 is: 4,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.76 : 6,403.44 = 3,226.43 : x
  2. Step 2: Convert to fraction form
    4,642.76/6,403.44 = 3,226.43/x
  3. Step 3: Cross multiply
    4,642.76x = 6,403.44 × 3,226.43
  4. Step 4: Simplify right side
    4,642.76x = 20,660,202.77
  5. Step 5: Solve for x
    x = 20,660,202.77/4,642.76
  6. Step 6: Final answer
    x = 4,449.98

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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.