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Finding the Fourth Proportional to 5,647.58, 7,785.96 and 3,759.25

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Solution

The fourth proportional to 5,647.58, 7,785.96 and 3,759.25 is: 5,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.58 : 7,785.96 = 3,759.25 : x
  2. Step 2: Convert to fraction form
    5,647.58/7,785.96 = 3,759.25/x
  3. Step 3: Cross multiply
    5,647.58x = 7,785.96 × 3,759.25
  4. Step 4: Simplify right side
    5,647.58x = 29,269,370.13
  5. Step 5: Solve for x
    x = 29,269,370.13/5,647.58
  6. Step 6: Final answer
    x = 5,182.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.