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Finding the Fourth Proportional to 5,073.72, 7,611.06 and 1,995

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Solution

The fourth proportional to 5,073.72, 7,611.06 and 1,995 is: 2,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.72 : 7,611.06 = 1,995 : x
  2. Step 2: Convert to fraction form
    5,073.72/7,611.06 = 1,995/x
  3. Step 3: Cross multiply
    5,073.72x = 7,611.06 × 1,995
  4. Step 4: Simplify right side
    5,073.72x = 15,184,064.70
  5. Step 5: Solve for x
    x = 15,184,064.70/5,073.72
  6. Step 6: Final answer
    x = 2,992.69

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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.