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Finding the Fourth Proportional to 3,956.49, 5,460.48 and 2,277.86

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Solution

The fourth proportional to 3,956.49, 5,460.48 and 2,277.86 is: 3,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.49 : 5,460.48 = 2,277.86 : x
  2. Step 2: Convert to fraction form
    3,956.49/5,460.48 = 2,277.86/x
  3. Step 3: Cross multiply
    3,956.49x = 5,460.48 × 2,277.86
  4. Step 4: Simplify right side
    3,956.49x = 12,438,181.67
  5. Step 5: Solve for x
    x = 12,438,181.67/3,956.49
  6. Step 6: Final answer
    x = 3,143.74

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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.