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Finding the Fourth Proportional to 6,802.33, 10,203.49 and 2,419.82

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Solution

The fourth proportional to 6,802.33, 10,203.49 and 2,419.82 is: 3,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.33 : 10,203.49 = 2,419.82 : x
  2. Step 2: Convert to fraction form
    6,802.33/10,203.49 = 2,419.82/x
  3. Step 3: Cross multiply
    6,802.33x = 10,203.49 × 2,419.82
  4. Step 4: Simplify right side
    6,802.33x = 24,690,663.64
  5. Step 5: Solve for x
    x = 24,690,663.64/6,802.33
  6. Step 6: Final answer
    x = 3,629.74

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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.