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Finding the Fourth Proportional to 3,894.42, 5,374.47 and 2,216.25

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Solution

The fourth proportional to 3,894.42, 5,374.47 and 2,216.25 is: 3,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.42 : 5,374.47 = 2,216.25 : x
  2. Step 2: Convert to fraction form
    3,894.42/5,374.47 = 2,216.25/x
  3. Step 3: Cross multiply
    3,894.42x = 5,374.47 × 2,216.25
  4. Step 4: Simplify right side
    3,894.42x = 11,911,169.14
  5. Step 5: Solve for x
    x = 11,911,169.14/3,894.42
  6. Step 6: Final answer
    x = 3,058.52

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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.