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Finding the Fourth Proportional to 3,802.29, 5,689.50 and 2,243.00

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Solution

The fourth proportional to 3,802.29, 5,689.50 and 2,243.00 is: 3,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.29 : 5,689.50 = 2,243.00 : x
  2. Step 2: Convert to fraction form
    3,802.29/5,689.50 = 2,243.00/x
  3. Step 3: Cross multiply
    3,802.29x = 5,689.50 × 2,243.00
  4. Step 4: Simplify right side
    3,802.29x = 12,761,520.05
  5. Step 5: Solve for x
    x = 12,761,520.05/3,802.29
  6. Step 6: Final answer
    x = 3,356.27

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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.