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Finding the Fourth Proportional to 3,454.70, 4,765.98 and 2,705.66

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Solution

The fourth proportional to 3,454.70, 4,765.98 and 2,705.66 is: 3,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.70 : 4,765.98 = 2,705.66 : x
  2. Step 2: Convert to fraction form
    3,454.70/4,765.98 = 2,705.66/x
  3. Step 3: Cross multiply
    3,454.70x = 4,765.98 × 2,705.66
  4. Step 4: Simplify right side
    3,454.70x = 12,895,097.62
  5. Step 5: Solve for x
    x = 12,895,097.62/3,454.70
  6. Step 6: Final answer
    x = 3,732.63

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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.