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Finding the Fourth Proportional to 3,471.46, 4,787.36 and 2,765.64

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Solution

The fourth proportional to 3,471.46, 4,787.36 and 2,765.64 is: 3,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.46 : 4,787.36 = 2,765.64 : x
  2. Step 2: Convert to fraction form
    3,471.46/4,787.36 = 2,765.64/x
  3. Step 3: Cross multiply
    3,471.46x = 4,787.36 × 2,765.64
  4. Step 4: Simplify right side
    3,471.46x = 13,240,114.31
  5. Step 5: Solve for x
    x = 13,240,114.31/3,471.46
  6. Step 6: Final answer
    x = 3,813.99

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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.