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Finding the Fourth Proportional to 3,563.59, 4,917.86 and 1,991.65

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Solution

The fourth proportional to 3,563.59, 4,917.86 and 1,991.65 is: 2,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.59 : 4,917.86 = 1,991.65 : x
  2. Step 2: Convert to fraction form
    3,563.59/4,917.86 = 1,991.65/x
  3. Step 3: Cross multiply
    3,563.59x = 4,917.86 × 1,991.65
  4. Step 4: Simplify right side
    3,563.59x = 9,794,655.87
  5. Step 5: Solve for x
    x = 9,794,655.87/3,563.59
  6. Step 6: Final answer
    x = 2,748.54

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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.