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Finding the Fourth Proportional to 3,973.06, 5,942.10 and 3,537.40

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Solution

The fourth proportional to 3,973.06, 5,942.10 and 3,537.40 is: 5,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.06 : 5,942.10 = 3,537.40 : x
  2. Step 2: Convert to fraction form
    3,973.06/5,942.10 = 3,537.40/x
  3. Step 3: Cross multiply
    3,973.06x = 5,942.10 × 3,537.40
  4. Step 4: Simplify right side
    3,973.06x = 21,019,584.54
  5. Step 5: Solve for x
    x = 21,019,584.54/3,973.06
  6. Step 6: Final answer
    x = 5,290.53

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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.