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Finding the Fourth Proportional to 3,416.25, 4,714.56 and 2,019.81

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Solution

The fourth proportional to 3,416.25, 4,714.56 and 2,019.81 is: 2,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.25 : 4,714.56 = 2,019.81 : x
  2. Step 2: Convert to fraction form
    3,416.25/4,714.56 = 2,019.81/x
  3. Step 3: Cross multiply
    3,416.25x = 4,714.56 × 2,019.81
  4. Step 4: Simplify right side
    3,416.25x = 9,522,515.43
  5. Step 5: Solve for x
    x = 9,522,515.43/3,416.25
  6. Step 6: Final answer
    x = 2,787.42

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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.