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Finding the Fourth Proportional to 3,454.90, 5,174.46 and 2,712.82

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Solution

The fourth proportional to 3,454.90, 5,174.46 and 2,712.82 is: 4,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.90 : 5,174.46 = 2,712.82 : x
  2. Step 2: Convert to fraction form
    3,454.90/5,174.46 = 2,712.82/x
  3. Step 3: Cross multiply
    3,454.90x = 5,174.46 × 2,712.82
  4. Step 4: Simplify right side
    3,454.90x = 14,037,378.58
  5. Step 5: Solve for x
    x = 14,037,378.58/3,454.90
  6. Step 6: Final answer
    x = 4,063.03

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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.