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Finding the Fourth Proportional to 3,638.84, 5,017.32 and 3,042.68

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Solution

The fourth proportional to 3,638.84, 5,017.32 and 3,042.68 is: 4,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.84 : 5,017.32 = 3,042.68 : x
  2. Step 2: Convert to fraction form
    3,638.84/5,017.32 = 3,042.68/x
  3. Step 3: Cross multiply
    3,638.84x = 5,017.32 × 3,042.68
  4. Step 4: Simplify right side
    3,638.84x = 15,266,099.22
  5. Step 5: Solve for x
    x = 15,266,099.22/3,638.84
  6. Step 6: Final answer
    x = 4,195.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.