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Finding the Fourth Proportional to 3,956.50, 5,459.42 and 2,277.28

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Solution

The fourth proportional to 3,956.50, 5,459.42 and 2,277.28 is: 3,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.50 : 5,459.42 = 2,277.28 : x
  2. Step 2: Convert to fraction form
    3,956.50/5,459.42 = 2,277.28/x
  3. Step 3: Cross multiply
    3,956.50x = 5,459.42 × 2,277.28
  4. Step 4: Simplify right side
    3,956.50x = 12,432,627.98
  5. Step 5: Solve for x
    x = 12,432,627.98/3,956.50
  6. Step 6: Final answer
    x = 3,142.33

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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.