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Finding the Fourth Proportional to 4,875.75, 6,728.54 and 2,667.75

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Solution

The fourth proportional to 4,875.75, 6,728.54 and 2,667.75 is: 3,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.75 : 6,728.54 = 2,667.75 : x
  2. Step 2: Convert to fraction form
    4,875.75/6,728.54 = 2,667.75/x
  3. Step 3: Cross multiply
    4,875.75x = 6,728.54 × 2,667.75
  4. Step 4: Simplify right side
    4,875.75x = 17,950,049.25
  5. Step 5: Solve for x
    x = 17,950,049.25/4,875.75
  6. Step 6: Final answer
    x = 3,681.50

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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.