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Finding the Fourth Proportional to 3,755.12, 5,633.04 and 1,290.80

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Solution

The fourth proportional to 3,755.12, 5,633.04 and 1,290.80 is: 1,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.12 : 5,633.04 = 1,290.80 : x
  2. Step 2: Convert to fraction form
    3,755.12/5,633.04 = 1,290.80/x
  3. Step 3: Cross multiply
    3,755.12x = 5,633.04 × 1,290.80
  4. Step 4: Simplify right side
    3,755.12x = 7,271,128.03
  5. Step 5: Solve for x
    x = 7,271,128.03/3,755.12
  6. Step 6: Final answer
    x = 1,936.32

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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.