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Finding the Fourth Proportional to 4,856.10, 7,278.48 and 2,256

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Solution

The fourth proportional to 4,856.10, 7,278.48 and 2,256 is: 3,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.10 : 7,278.48 = 2,256 : x
  2. Step 2: Convert to fraction form
    4,856.10/7,278.48 = 2,256/x
  3. Step 3: Cross multiply
    4,856.10x = 7,278.48 × 2,256
  4. Step 4: Simplify right side
    4,856.10x = 16,420,250.88
  5. Step 5: Solve for x
    x = 16,420,250.88/4,856.10
  6. Step 6: Final answer
    x = 3,381.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.