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Finding the Fourth Proportional to 4,655.74, 6,422.05 and 3,327.14

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Solution

The fourth proportional to 4,655.74, 6,422.05 and 3,327.14 is: 4,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.74 : 6,422.05 = 3,327.14 : x
  2. Step 2: Convert to fraction form
    4,655.74/6,422.05 = 3,327.14/x
  3. Step 3: Cross multiply
    4,655.74x = 6,422.05 × 3,327.14
  4. Step 4: Simplify right side
    4,655.74x = 21,367,059.44
  5. Step 5: Solve for x
    x = 21,367,059.44/4,655.74
  6. Step 6: Final answer
    x = 4,589.40

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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.