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Finding the Fourth Proportional to 3,416.34, 4,714.20 and 1,999.96

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Solution

The fourth proportional to 3,416.34, 4,714.20 and 1,999.96 is: 2,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.34 : 4,714.20 = 1,999.96 : x
  2. Step 2: Convert to fraction form
    3,416.34/4,714.20 = 1,999.96/x
  3. Step 3: Cross multiply
    3,416.34x = 4,714.20 × 1,999.96
  4. Step 4: Simplify right side
    3,416.34x = 9,428,199.65
  5. Step 5: Solve for x
    x = 9,428,199.65/3,416.34
  6. Step 6: Final answer
    x = 2,759.73

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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.