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Finding the Fourth Proportional to 4,099.94, 6,148.48 and 2,537.54

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Solution

The fourth proportional to 4,099.94, 6,148.48 and 2,537.54 is: 3,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.94 : 6,148.48 = 2,537.54 : x
  2. Step 2: Convert to fraction form
    4,099.94/6,148.48 = 2,537.54/x
  3. Step 3: Cross multiply
    4,099.94x = 6,148.48 × 2,537.54
  4. Step 4: Simplify right side
    4,099.94x = 15,602,013.94
  5. Step 5: Solve for x
    x = 15,602,013.94/4,099.94
  6. Step 6: Final answer
    x = 3,805.42

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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.