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Finding the Fourth Proportional to 4,004.64, 6,006.84 and 1,231.20

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Solution

The fourth proportional to 4,004.64, 6,006.84 and 1,231.20 is: 1,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.64 : 6,006.84 = 1,231.20 : x
  2. Step 2: Convert to fraction form
    4,004.64/6,006.84 = 1,231.20/x
  3. Step 3: Cross multiply
    4,004.64x = 6,006.84 × 1,231.20
  4. Step 4: Simplify right side
    4,004.64x = 7,395,621.41
  5. Step 5: Solve for x
    x = 7,395,621.41/4,004.64
  6. Step 6: Final answer
    x = 1,846.76

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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.