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Finding the Fourth Proportional to 4,627.94, 6,387.58 and 3,194.32

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Solution

The fourth proportional to 4,627.94, 6,387.58 and 3,194.32 is: 4,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.94 : 6,387.58 = 3,194.32 : x
  2. Step 2: Convert to fraction form
    4,627.94/6,387.58 = 3,194.32/x
  3. Step 3: Cross multiply
    4,627.94x = 6,387.58 × 3,194.32
  4. Step 4: Simplify right side
    4,627.94x = 20,403,970.56
  5. Step 5: Solve for x
    x = 20,403,970.56/4,627.94
  6. Step 6: Final answer
    x = 4,408.87

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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.