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Finding the Fourth Proportional to 4,133.67, 6,199.48 and 1,667.76

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Solution

The fourth proportional to 4,133.67, 6,199.48 and 1,667.76 is: 2,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.67 : 6,199.48 = 1,667.76 : x
  2. Step 2: Convert to fraction form
    4,133.67/6,199.48 = 1,667.76/x
  3. Step 3: Cross multiply
    4,133.67x = 6,199.48 × 1,667.76
  4. Step 4: Simplify right side
    4,133.67x = 10,339,244.76
  5. Step 5: Solve for x
    x = 10,339,244.76/4,133.67
  6. Step 6: Final answer
    x = 2,501.23

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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.