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Finding the Fourth Proportional to 5,995.20, 8,971.20 and 4,051.20

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Solution

The fourth proportional to 5,995.20, 8,971.20 and 4,051.20 is: 6,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.20 : 8,971.20 = 4,051.20 : x
  2. Step 2: Convert to fraction form
    5,995.20/8,971.20 = 4,051.20/x
  3. Step 3: Cross multiply
    5,995.20x = 8,971.20 × 4,051.20
  4. Step 4: Simplify right side
    5,995.20x = 36,344,125.44
  5. Step 5: Solve for x
    x = 36,344,125.44/5,995.20
  6. Step 6: Final answer
    x = 6,062.20

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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.