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Finding the Fourth Proportional to 5,469.94, 8,206.24 and 1,574.32

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Solution

The fourth proportional to 5,469.94, 8,206.24 and 1,574.32 is: 2,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.94 : 8,206.24 = 1,574.32 : x
  2. Step 2: Convert to fraction form
    5,469.94/8,206.24 = 1,574.32/x
  3. Step 3: Cross multiply
    5,469.94x = 8,206.24 × 1,574.32
  4. Step 4: Simplify right side
    5,469.94x = 12,919,247.76
  5. Step 5: Solve for x
    x = 12,919,247.76/5,469.94
  6. Step 6: Final answer
    x = 2,361.86

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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.