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Finding the Fourth Proportional to 4,872.84, 6,716.44 and 3,454.70

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Solution

The fourth proportional to 4,872.84, 6,716.44 and 3,454.70 is: 4,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.84 : 6,716.44 = 3,454.70 : x
  2. Step 2: Convert to fraction form
    4,872.84/6,716.44 = 3,454.70/x
  3. Step 3: Cross multiply
    4,872.84x = 6,716.44 × 3,454.70
  4. Step 4: Simplify right side
    4,872.84x = 23,203,285.27
  5. Step 5: Solve for x
    x = 23,203,285.27/4,872.84
  6. Step 6: Final answer
    x = 4,761.76

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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.