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Finding the Fourth Proportional to 5,102.56, 7,043.68 and 3,113.82

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Solution

The fourth proportional to 5,102.56, 7,043.68 and 3,113.82 is: 4,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.56 : 7,043.68 = 3,113.82 : x
  2. Step 2: Convert to fraction form
    5,102.56/7,043.68 = 3,113.82/x
  3. Step 3: Cross multiply
    5,102.56x = 7,043.68 × 3,113.82
  4. Step 4: Simplify right side
    5,102.56x = 21,932,751.66
  5. Step 5: Solve for x
    x = 21,932,751.66/5,102.56
  6. Step 6: Final answer
    x = 4,298.38

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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.