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Finding the Fourth Proportional to 5,759.13, 8,633.66 and 4,780.09

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Solution

The fourth proportional to 5,759.13, 8,633.66 and 4,780.09 is: 7,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.13 : 8,633.66 = 4,780.09 : x
  2. Step 2: Convert to fraction form
    5,759.13/8,633.66 = 4,780.09/x
  3. Step 3: Cross multiply
    5,759.13x = 8,633.66 × 4,780.09
  4. Step 4: Simplify right side
    5,759.13x = 41,269,626.34
  5. Step 5: Solve for x
    x = 41,269,626.34/5,759.13
  6. Step 6: Final answer
    x = 7,165.95

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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.