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Finding the Fourth Proportional to 3,894.45, 5,374.52 and 2,216.16

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Solution

The fourth proportional to 3,894.45, 5,374.52 and 2,216.16 is: 3,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.45 : 5,374.52 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    3,894.45/5,374.52 = 2,216.16/x
  3. Step 3: Cross multiply
    3,894.45x = 5,374.52 × 2,216.16
  4. Step 4: Simplify right side
    3,894.45x = 11,910,785.16
  5. Step 5: Solve for x
    x = 11,910,785.16/3,894.45
  6. Step 6: Final answer
    x = 3,058.40

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Why These Related Problems?

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