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Finding the Fourth Proportional to 3,482.35, 5,223.27 and 1,633.88

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Solution

The fourth proportional to 3,482.35, 5,223.27 and 1,633.88 is: 2,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.35 : 5,223.27 = 1,633.88 : x
  2. Step 2: Convert to fraction form
    3,482.35/5,223.27 = 1,633.88/x
  3. Step 3: Cross multiply
    3,482.35x = 5,223.27 × 1,633.88
  4. Step 4: Simplify right side
    3,482.35x = 8,534,209.45
  5. Step 5: Solve for x
    x = 8,534,209.45/3,482.35
  6. Step 6: Final answer
    x = 2,450.71

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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.