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Finding the Fourth Proportional to 3,874.54, 5,345.78 and 2,548.68

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Solution

The fourth proportional to 3,874.54, 5,345.78 and 2,548.68 is: 3,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.54 : 5,345.78 = 2,548.68 : x
  2. Step 2: Convert to fraction form
    3,874.54/5,345.78 = 2,548.68/x
  3. Step 3: Cross multiply
    3,874.54x = 5,345.78 × 2,548.68
  4. Step 4: Simplify right side
    3,874.54x = 13,624,682.57
  5. Step 5: Solve for x
    x = 13,624,682.57/3,874.54
  6. Step 6: Final answer
    x = 3,516.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.