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Finding the Fourth Proportional to 4,667.36, 6,441 and 2,571.52

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Solution

The fourth proportional to 4,667.36, 6,441 and 2,571.52 is: 3,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.36 : 6,441 = 2,571.52 : x
  2. Step 2: Convert to fraction form
    4,667.36/6,441 = 2,571.52/x
  3. Step 3: Cross multiply
    4,667.36x = 6,441 × 2,571.52
  4. Step 4: Simplify right side
    4,667.36x = 16,563,160.32
  5. Step 5: Solve for x
    x = 16,563,160.32/4,667.36
  6. Step 6: Final answer
    x = 3,548.72

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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.