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Finding the Fourth Proportional to 4,667.61, 6,441.30 and 2,571.74

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Solution

The fourth proportional to 4,667.61, 6,441.30 and 2,571.74 is: 3,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.61 : 6,441.30 = 2,571.74 : x
  2. Step 2: Convert to fraction form
    4,667.61/6,441.30 = 2,571.74/x
  3. Step 3: Cross multiply
    4,667.61x = 6,441.30 × 2,571.74
  4. Step 4: Simplify right side
    4,667.61x = 16,565,316.66
  5. Step 5: Solve for x
    x = 16,565,316.66/4,667.61
  6. Step 6: Final answer
    x = 3,548.99

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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.