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Finding the Fourth Proportional to 3,956.54, 5,460.26 and 2,277.90

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Solution

The fourth proportional to 3,956.54, 5,460.26 and 2,277.90 is: 3,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.54 : 5,460.26 = 2,277.90 : x
  2. Step 2: Convert to fraction form
    3,956.54/5,460.26 = 2,277.90/x
  3. Step 3: Cross multiply
    3,956.54x = 5,460.26 × 2,277.90
  4. Step 4: Simplify right side
    3,956.54x = 12,437,914.86
  5. Step 5: Solve for x
    x = 12,437,914.86/3,956.54
  6. Step 6: Final answer
    x = 3,143.64

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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.