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Finding the Fourth Proportional to 4,878.17, 7,318.90 and 1,546.96

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Solution

The fourth proportional to 4,878.17, 7,318.90 and 1,546.96 is: 2,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.17 : 7,318.90 = 1,546.96 : x
  2. Step 2: Convert to fraction form
    4,878.17/7,318.90 = 1,546.96/x
  3. Step 3: Cross multiply
    4,878.17x = 7,318.90 × 1,546.96
  4. Step 4: Simplify right side
    4,878.17x = 11,322,059.97
  5. Step 5: Solve for x
    x = 11,322,059.97/4,878.17
  6. Step 6: Final answer
    x = 2,320.96

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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.