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Finding the Fourth Proportional to 4,193.64, 5,787.21 and 2,305.26

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Solution

The fourth proportional to 4,193.64, 5,787.21 and 2,305.26 is: 3,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.64 : 5,787.21 = 2,305.26 : x
  2. Step 2: Convert to fraction form
    4,193.64/5,787.21 = 2,305.26/x
  3. Step 3: Cross multiply
    4,193.64x = 5,787.21 × 2,305.26
  4. Step 4: Simplify right side
    4,193.64x = 13,341,023.72
  5. Step 5: Solve for x
    x = 13,341,023.72/4,193.64
  6. Step 6: Final answer
    x = 3,181.25

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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.