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Finding the Fourth Proportional to 3,882.54, 5,823.82 and 1,802.28

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Solution

The fourth proportional to 3,882.54, 5,823.82 and 1,802.28 is: 2,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.54 : 5,823.82 = 1,802.28 : x
  2. Step 2: Convert to fraction form
    3,882.54/5,823.82 = 1,802.28/x
  3. Step 3: Cross multiply
    3,882.54x = 5,823.82 × 1,802.28
  4. Step 4: Simplify right side
    3,882.54x = 10,496,154.31
  5. Step 5: Solve for x
    x = 10,496,154.31/3,882.54
  6. Step 6: Final answer
    x = 2,703.42

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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.