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Finding the Fourth Proportional to 5,071.56, 6,995.34 and 3,080.76

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Solution

The fourth proportional to 5,071.56, 6,995.34 and 3,080.76 is: 4,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.56 : 6,995.34 = 3,080.76 : x
  2. Step 2: Convert to fraction form
    5,071.56/6,995.34 = 3,080.76/x
  3. Step 3: Cross multiply
    5,071.56x = 6,995.34 × 3,080.76
  4. Step 4: Simplify right side
    5,071.56x = 21,550,963.66
  5. Step 5: Solve for x
    x = 21,550,963.66/5,071.56
  6. Step 6: Final answer
    x = 4,249.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.