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Finding the Fourth Proportional to 4,667.56, 6,441.26 and 2,571.68

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Solution

The fourth proportional to 4,667.56, 6,441.26 and 2,571.68 is: 3,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.56 : 6,441.26 = 2,571.68 : x
  2. Step 2: Convert to fraction form
    4,667.56/6,441.26 = 2,571.68/x
  3. Step 3: Cross multiply
    4,667.56x = 6,441.26 × 2,571.68
  4. Step 4: Simplify right side
    4,667.56x = 16,564,862.76
  5. Step 5: Solve for x
    x = 16,564,862.76/4,667.56
  6. Step 6: Final answer
    x = 3,548.94

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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.