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Finding the Fourth Proportional to 6,504.14, 8,975.74 and 3,671.54

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Solution

The fourth proportional to 6,504.14, 8,975.74 and 3,671.54 is: 5,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.14 : 8,975.74 = 3,671.54 : x
  2. Step 2: Convert to fraction form
    6,504.14/8,975.74 = 3,671.54/x
  3. Step 3: Cross multiply
    6,504.14x = 8,975.74 × 3,671.54
  4. Step 4: Simplify right side
    6,504.14x = 32,954,788.44
  5. Step 5: Solve for x
    x = 32,954,788.44/6,504.14
  6. Step 6: Final answer
    x = 5,066.74

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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.