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Finding the Fourth Proportional to 4,406.63, 6,611.02 and 1,809.56

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Solution

The fourth proportional to 4,406.63, 6,611.02 and 1,809.56 is: 2,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.63 : 6,611.02 = 1,809.56 : x
  2. Step 2: Convert to fraction form
    4,406.63/6,611.02 = 1,809.56/x
  3. Step 3: Cross multiply
    4,406.63x = 6,611.02 × 1,809.56
  4. Step 4: Simplify right side
    4,406.63x = 11,963,049.35
  5. Step 5: Solve for x
    x = 11,963,049.35/4,406.63
  6. Step 6: Final answer
    x = 2,714.79

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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.