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Finding the Fourth Proportional to 5,239.70, 7,847.94 and 3,042.98

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Solution

The fourth proportional to 5,239.70, 7,847.94 and 3,042.98 is: 4,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.70 : 7,847.94 = 3,042.98 : x
  2. Step 2: Convert to fraction form
    5,239.70/7,847.94 = 3,042.98/x
  3. Step 3: Cross multiply
    5,239.70x = 7,847.94 × 3,042.98
  4. Step 4: Simplify right side
    5,239.70x = 23,881,124.46
  5. Step 5: Solve for x
    x = 23,881,124.46/5,239.70
  6. Step 6: Final answer
    x = 4,557.73

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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.