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Finding the Fourth Proportional to 4,714.67, 7,073.52 and 1,428.09

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Solution

The fourth proportional to 4,714.67, 7,073.52 and 1,428.09 is: 2,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.67 : 7,073.52 = 1,428.09 : x
  2. Step 2: Convert to fraction form
    4,714.67/7,073.52 = 1,428.09/x
  3. Step 3: Cross multiply
    4,714.67x = 7,073.52 × 1,428.09
  4. Step 4: Simplify right side
    4,714.67x = 10,101,616.04
  5. Step 5: Solve for x
    x = 10,101,616.04/4,714.67
  6. Step 6: Final answer
    x = 2,142.59

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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.