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Finding the Fourth Proportional to 3,802.80, 5,694.36 and 3,472.32

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Solution

The fourth proportional to 3,802.80, 5,694.36 and 3,472.32 is: 5,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.80 : 5,694.36 = 3,472.32 : x
  2. Step 2: Convert to fraction form
    3,802.80/5,694.36 = 3,472.32/x
  3. Step 3: Cross multiply
    3,802.80x = 5,694.36 × 3,472.32
  4. Step 4: Simplify right side
    3,802.80x = 19,772,640.12
  5. Step 5: Solve for x
    x = 19,772,640.12/3,802.80
  6. Step 6: Final answer
    x = 5,199.50

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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.