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Finding the Fourth Proportional to 3,894.48, 5,374.76 and 2,216.30

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Solution

The fourth proportional to 3,894.48, 5,374.76 and 2,216.30 is: 3,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.48 : 5,374.76 = 2,216.30 : x
  2. Step 2: Convert to fraction form
    3,894.48/5,374.76 = 2,216.30/x
  3. Step 3: Cross multiply
    3,894.48x = 5,374.76 × 2,216.30
  4. Step 4: Simplify right side
    3,894.48x = 11,912,042.63
  5. Step 5: Solve for x
    x = 11,912,042.63/3,894.48
  6. Step 6: Final answer
    x = 3,058.70

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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.