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Finding the Fourth Proportional to 5,038.54, 7,546.86 and 2,436

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Solution

The fourth proportional to 5,038.54, 7,546.86 and 2,436 is: 3,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.54 : 7,546.86 = 2,436 : x
  2. Step 2: Convert to fraction form
    5,038.54/7,546.86 = 2,436/x
  3. Step 3: Cross multiply
    5,038.54x = 7,546.86 × 2,436
  4. Step 4: Simplify right side
    5,038.54x = 18,384,150.96
  5. Step 5: Solve for x
    x = 18,384,150.96/5,038.54
  6. Step 6: Final answer
    x = 3,648.71

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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.