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Finding the Fourth Proportional to 4,542.30, 6,817.11 and 2,569.14

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Solution

The fourth proportional to 4,542.30, 6,817.11 and 2,569.14 is: 3,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.30 : 6,817.11 = 2,569.14 : x
  2. Step 2: Convert to fraction form
    4,542.30/6,817.11 = 2,569.14/x
  3. Step 3: Cross multiply
    4,542.30x = 6,817.11 × 2,569.14
  4. Step 4: Simplify right side
    4,542.30x = 17,514,109.99
  5. Step 5: Solve for x
    x = 17,514,109.99/4,542.30
  6. Step 6: Final answer
    x = 3,855.78

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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.