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Finding the Fourth Proportional to 5,063.67, 7,596.31 and 2,142

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Solution

The fourth proportional to 5,063.67, 7,596.31 and 2,142 is: 3,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.67 : 7,596.31 = 2,142 : x
  2. Step 2: Convert to fraction form
    5,063.67/7,596.31 = 2,142/x
  3. Step 3: Cross multiply
    5,063.67x = 7,596.31 × 2,142
  4. Step 4: Simplify right side
    5,063.67x = 16,271,296.02
  5. Step 5: Solve for x
    x = 16,271,296.02/5,063.67
  6. Step 6: Final answer
    x = 3,213.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.