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Finding the Fourth Proportional to 5,982.38, 8,956.50 and 4,751.54

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Solution

The fourth proportional to 5,982.38, 8,956.50 and 4,751.54 is: 7,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.38 : 8,956.50 = 4,751.54 : x
  2. Step 2: Convert to fraction form
    5,982.38/8,956.50 = 4,751.54/x
  3. Step 3: Cross multiply
    5,982.38x = 8,956.50 × 4,751.54
  4. Step 4: Simplify right side
    5,982.38x = 42,557,168.01
  5. Step 5: Solve for x
    x = 42,557,168.01/5,982.38
  6. Step 6: Final answer
    x = 7,113.75

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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.