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Finding the Fourth Proportional to 3,755.83, 5,632.30 and 1,290.19

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Solution

The fourth proportional to 3,755.83, 5,632.30 and 1,290.19 is: 1,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.83 : 5,632.30 = 1,290.19 : x
  2. Step 2: Convert to fraction form
    3,755.83/5,632.30 = 1,290.19/x
  3. Step 3: Cross multiply
    3,755.83x = 5,632.30 × 1,290.19
  4. Step 4: Simplify right side
    3,755.83x = 7,266,737.14
  5. Step 5: Solve for x
    x = 7,266,737.14/3,755.83
  6. Step 6: Final answer
    x = 1,934.79

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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.