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Finding the Fourth Proportional to 5,942.02, 8,237.50 and 5,626

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Solution

The fourth proportional to 5,942.02, 8,237.50 and 5,626 is: 7,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.02 : 8,237.50 = 5,626 : x
  2. Step 2: Convert to fraction form
    5,942.02/8,237.50 = 5,626/x
  3. Step 3: Cross multiply
    5,942.02x = 8,237.50 × 5,626
  4. Step 4: Simplify right side
    5,942.02x = 46,344,175
  5. Step 5: Solve for x
    x = 46,344,175/5,942.02
  6. Step 6: Final answer
    x = 7,799.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.