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Finding the Fourth Proportional to 3,105.33, 4,653.12 and 2,714.10

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Solution

The fourth proportional to 3,105.33, 4,653.12 and 2,714.10 is: 4,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.33 : 4,653.12 = 2,714.10 : x
  2. Step 2: Convert to fraction form
    3,105.33/4,653.12 = 2,714.10/x
  3. Step 3: Cross multiply
    3,105.33x = 4,653.12 × 2,714.10
  4. Step 4: Simplify right side
    3,105.33x = 12,629,032.99
  5. Step 5: Solve for x
    x = 12,629,032.99/3,105.33
  6. Step 6: Final answer
    x = 4,066.89

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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.