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Finding the Fourth Proportional to 3,755.16, 5,633.48 and 1,289.38

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Solution

The fourth proportional to 3,755.16, 5,633.48 and 1,289.38 is: 1,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.16 : 5,633.48 = 1,289.38 : x
  2. Step 2: Convert to fraction form
    3,755.16/5,633.48 = 1,289.38/x
  3. Step 3: Cross multiply
    3,755.16x = 5,633.48 × 1,289.38
  4. Step 4: Simplify right side
    3,755.16x = 7,263,696.44
  5. Step 5: Solve for x
    x = 7,263,696.44/3,755.16
  6. Step 6: Final answer
    x = 1,934.32

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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.