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Finding the Fourth Proportional to 5,296.68, 7,945.20 and 1,401.48

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Solution

The fourth proportional to 5,296.68, 7,945.20 and 1,401.48 is: 2,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.68 : 7,945.20 = 1,401.48 : x
  2. Step 2: Convert to fraction form
    5,296.68/7,945.20 = 1,401.48/x
  3. Step 3: Cross multiply
    5,296.68x = 7,945.20 × 1,401.48
  4. Step 4: Simplify right side
    5,296.68x = 11,135,038.90
  5. Step 5: Solve for x
    x = 11,135,038.90/5,296.68
  6. Step 6: Final answer
    x = 2,102.27

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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.