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Finding the Fourth Proportional to 4,072.54, 6,102.42 and 3,150.40

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Solution

The fourth proportional to 4,072.54, 6,102.42 and 3,150.40 is: 4,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.54 : 6,102.42 = 3,150.40 : x
  2. Step 2: Convert to fraction form
    4,072.54/6,102.42 = 3,150.40/x
  3. Step 3: Cross multiply
    4,072.54x = 6,102.42 × 3,150.40
  4. Step 4: Simplify right side
    4,072.54x = 19,225,063.97
  5. Step 5: Solve for x
    x = 19,225,063.97/4,072.54
  6. Step 6: Final answer
    x = 4,720.66

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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.