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Finding the Fourth Proportional to 3,894.51, 5,374.43 and 2,216.25

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Solution

The fourth proportional to 3,894.51, 5,374.43 and 2,216.25 is: 3,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.51 : 5,374.43 = 2,216.25 : x
  2. Step 2: Convert to fraction form
    3,894.51/5,374.43 = 2,216.25/x
  3. Step 3: Cross multiply
    3,894.51x = 5,374.43 × 2,216.25
  4. Step 4: Simplify right side
    3,894.51x = 11,911,080.49
  5. Step 5: Solve for x
    x = 11,911,080.49/3,894.51
  6. Step 6: Final answer
    x = 3,058.43

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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.