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Finding the Fourth Proportional to 3,787.16, 5,226.93 and 2,216.16

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Solution

The fourth proportional to 3,787.16, 5,226.93 and 2,216.16 is: 3,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.16 : 5,226.93 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    3,787.16/5,226.93 = 2,216.16/x
  3. Step 3: Cross multiply
    3,787.16x = 5,226.93 × 2,216.16
  4. Step 4: Simplify right side
    3,787.16x = 11,583,713.19
  5. Step 5: Solve for x
    x = 11,583,713.19/3,787.16
  6. Step 6: Final answer
    x = 3,058.68

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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.