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Finding the Fourth Proportional to 3,006.32, 4,509.96 and 1,274.96

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Solution

The fourth proportional to 3,006.32, 4,509.96 and 1,274.96 is: 1,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.32 : 4,509.96 = 1,274.96 : x
  2. Step 2: Convert to fraction form
    3,006.32/4,509.96 = 1,274.96/x
  3. Step 3: Cross multiply
    3,006.32x = 4,509.96 × 1,274.96
  4. Step 4: Simplify right side
    3,006.32x = 5,750,018.60
  5. Step 5: Solve for x
    x = 5,750,018.60/3,006.32
  6. Step 6: Final answer
    x = 1,912.64

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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.