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Finding the Fourth Proportional to 3,406.63, 5,105.67 and 1,456.54

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Solution

The fourth proportional to 3,406.63, 5,105.67 and 1,456.54 is: 2,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.63 : 5,105.67 = 1,456.54 : x
  2. Step 2: Convert to fraction form
    3,406.63/5,105.67 = 1,456.54/x
  3. Step 3: Cross multiply
    3,406.63x = 5,105.67 × 1,456.54
  4. Step 4: Simplify right side
    3,406.63x = 7,436,612.58
  5. Step 5: Solve for x
    x = 7,436,612.58/3,406.63
  6. Step 6: Final answer
    x = 2,182.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.