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Finding the Fourth Proportional to 3,148.22, 4,718.67 and 2,783.72

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Solution

The fourth proportional to 3,148.22, 4,718.67 and 2,783.72 is: 4,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.22 : 4,718.67 = 2,783.72 : x
  2. Step 2: Convert to fraction form
    3,148.22/4,718.67 = 2,783.72/x
  3. Step 3: Cross multiply
    3,148.22x = 4,718.67 × 2,783.72
  4. Step 4: Simplify right side
    3,148.22x = 13,135,456.05
  5. Step 5: Solve for x
    x = 13,135,456.05/3,148.22
  6. Step 6: Final answer
    x = 4,172.34

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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.