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Finding the Fourth Proportional to 5,633.64, 8,450.78 and 1,473.80

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Solution

The fourth proportional to 5,633.64, 8,450.78 and 1,473.80 is: 2,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.64 : 8,450.78 = 1,473.80 : x
  2. Step 2: Convert to fraction form
    5,633.64/8,450.78 = 1,473.80/x
  3. Step 3: Cross multiply
    5,633.64x = 8,450.78 × 1,473.80
  4. Step 4: Simplify right side
    5,633.64x = 12,454,709.94
  5. Step 5: Solve for x
    x = 12,454,709.94/5,633.64
  6. Step 6: Final answer
    x = 2,210.77

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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.