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Finding the Fourth Proportional to 3,705.46, 5,109 and 2,819.74

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Solution

The fourth proportional to 3,705.46, 5,109 and 2,819.74 is: 3,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.46 : 5,109 = 2,819.74 : x
  2. Step 2: Convert to fraction form
    3,705.46/5,109 = 2,819.74/x
  3. Step 3: Cross multiply
    3,705.46x = 5,109 × 2,819.74
  4. Step 4: Simplify right side
    3,705.46x = 14,406,051.66
  5. Step 5: Solve for x
    x = 14,406,051.66/3,705.46
  6. Step 6: Final answer
    x = 3,887.79

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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.