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Finding the Fourth Proportional to 5,292.96, 7,938.83 and 1,397.67

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Solution

The fourth proportional to 5,292.96, 7,938.83 and 1,397.67 is: 2,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.96 : 7,938.83 = 1,397.67 : x
  2. Step 2: Convert to fraction form
    5,292.96/7,938.83 = 1,397.67/x
  3. Step 3: Cross multiply
    5,292.96x = 7,938.83 × 1,397.67
  4. Step 4: Simplify right side
    5,292.96x = 11,095,857.54
  5. Step 5: Solve for x
    x = 11,095,857.54/5,292.96
  6. Step 6: Final answer
    x = 2,096.34

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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.