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Finding the Fourth Proportional to 5,294.29, 7,942.75 and 3,737.34

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Solution

The fourth proportional to 5,294.29, 7,942.75 and 3,737.34 is: 5,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.29 : 7,942.75 = 3,737.34 : x
  2. Step 2: Convert to fraction form
    5,294.29/7,942.75 = 3,737.34/x
  3. Step 3: Cross multiply
    5,294.29x = 7,942.75 × 3,737.34
  4. Step 4: Simplify right side
    5,294.29x = 29,684,738.60
  5. Step 5: Solve for x
    x = 29,684,738.60/5,294.29
  6. Step 6: Final answer
    x = 5,606.93

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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.