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Finding the Fourth Proportional to 5,265.52, 7,898.29 and 1,369.92

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Solution

The fourth proportional to 5,265.52, 7,898.29 and 1,369.92 is: 2,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.52 : 7,898.29 = 1,369.92 : x
  2. Step 2: Convert to fraction form
    5,265.52/7,898.29 = 1,369.92/x
  3. Step 3: Cross multiply
    5,265.52x = 7,898.29 × 1,369.92
  4. Step 4: Simplify right side
    5,265.52x = 10,820,022.01
  5. Step 5: Solve for x
    x = 10,820,022.01/5,265.52
  6. Step 6: Final answer
    x = 2,054.88

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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.