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Finding the Fourth Proportional to 5,596.47, 8,396.53 and 2,675

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Solution

The fourth proportional to 5,596.47, 8,396.53 and 2,675 is: 4,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.47 : 8,396.53 = 2,675 : x
  2. Step 2: Convert to fraction form
    5,596.47/8,396.53 = 2,675/x
  3. Step 3: Cross multiply
    5,596.47x = 8,396.53 × 2,675
  4. Step 4: Simplify right side
    5,596.47x = 22,460,717.75
  5. Step 5: Solve for x
    x = 22,460,717.75/5,596.47
  6. Step 6: Final answer
    x = 4,013.37

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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.