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Finding the Fourth Proportional to 4,072.54, 6,109.57 and 1,851.54

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Solution

The fourth proportional to 4,072.54, 6,109.57 and 1,851.54 is: 2,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.54 : 6,109.57 = 1,851.54 : x
  2. Step 2: Convert to fraction form
    4,072.54/6,109.57 = 1,851.54/x
  3. Step 3: Cross multiply
    4,072.54x = 6,109.57 × 1,851.54
  4. Step 4: Simplify right side
    4,072.54x = 11,312,087.32
  5. Step 5: Solve for x
    x = 11,312,087.32/4,072.54
  6. Step 6: Final answer
    x = 2,777.65

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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.