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Finding the Fourth Proportional to 5,295.33, 7,940.42 and 1,596.87

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Solution

The fourth proportional to 5,295.33, 7,940.42 and 1,596.87 is: 2,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.33 : 7,940.42 = 1,596.87 : x
  2. Step 2: Convert to fraction form
    5,295.33/7,940.42 = 1,596.87/x
  3. Step 3: Cross multiply
    5,295.33x = 7,940.42 × 1,596.87
  4. Step 4: Simplify right side
    5,295.33x = 12,679,818.49
  5. Step 5: Solve for x
    x = 12,679,818.49/5,295.33
  6. Step 6: Final answer
    x = 2,394.53

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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.