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Finding the Fourth Proportional to 3,117.38, 4,302.22 and 3,020.44

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Solution

The fourth proportional to 3,117.38, 4,302.22 and 3,020.44 is: 4,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.38 : 4,302.22 = 3,020.44 : x
  2. Step 2: Convert to fraction form
    3,117.38/4,302.22 = 3,020.44/x
  3. Step 3: Cross multiply
    3,117.38x = 4,302.22 × 3,020.44
  4. Step 4: Simplify right side
    3,117.38x = 12,994,597.38
  5. Step 5: Solve for x
    x = 12,994,597.38/3,117.38
  6. Step 6: Final answer
    x = 4,168.44

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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.