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Finding the Fourth Proportional to 5,610.90, 7,742.72 and 3,092.54

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Solution

The fourth proportional to 5,610.90, 7,742.72 and 3,092.54 is: 4,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.90 : 7,742.72 = 3,092.54 : x
  2. Step 2: Convert to fraction form
    5,610.90/7,742.72 = 3,092.54/x
  3. Step 3: Cross multiply
    5,610.90x = 7,742.72 × 3,092.54
  4. Step 4: Simplify right side
    5,610.90x = 23,944,639.25
  5. Step 5: Solve for x
    x = 23,944,639.25/5,610.90
  6. Step 6: Final answer
    x = 4,267.53

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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.