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Finding the Fourth Proportional to 5,701.28, 8,553 and 1,805.36

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Solution

The fourth proportional to 5,701.28, 8,553 and 1,805.36 is: 2,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.28 : 8,553 = 1,805.36 : x
  2. Step 2: Convert to fraction form
    5,701.28/8,553 = 1,805.36/x
  3. Step 3: Cross multiply
    5,701.28x = 8,553 × 1,805.36
  4. Step 4: Simplify right side
    5,701.28x = 15,441,244.08
  5. Step 5: Solve for x
    x = 15,441,244.08/5,701.28
  6. Step 6: Final answer
    x = 2,708.38

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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.