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Finding the Fourth Proportional to 3,164.16, 4,738.56 and 2,672.64

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Solution

The fourth proportional to 3,164.16, 4,738.56 and 2,672.64 is: 4,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.16 : 4,738.56 = 2,672.64 : x
  2. Step 2: Convert to fraction form
    3,164.16/4,738.56 = 2,672.64/x
  3. Step 3: Cross multiply
    3,164.16x = 4,738.56 × 2,672.64
  4. Step 4: Simplify right side
    3,164.16x = 12,664,465.00
  5. Step 5: Solve for x
    x = 12,664,465.00/3,164.16
  6. Step 6: Final answer
    x = 4,002.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.