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Finding the Fourth Proportional to 5,563.72, 8,345.85 and 1,667.75

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Solution

The fourth proportional to 5,563.72, 8,345.85 and 1,667.75 is: 2,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.72 : 8,345.85 = 1,667.75 : x
  2. Step 2: Convert to fraction form
    5,563.72/8,345.85 = 1,667.75/x
  3. Step 3: Cross multiply
    5,563.72x = 8,345.85 × 1,667.75
  4. Step 4: Simplify right side
    5,563.72x = 13,918,791.34
  5. Step 5: Solve for x
    x = 13,918,791.34/5,563.72
  6. Step 6: Final answer
    x = 2,501.71

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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.