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Finding the Fourth Proportional to 4,092.39, 5,652.63 and 3,560.22

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Solution

The fourth proportional to 4,092.39, 5,652.63 and 3,560.22 is: 4,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.39 : 5,652.63 = 3,560.22 : x
  2. Step 2: Convert to fraction form
    4,092.39/5,652.63 = 3,560.22/x
  3. Step 3: Cross multiply
    4,092.39x = 5,652.63 × 3,560.22
  4. Step 4: Simplify right side
    4,092.39x = 20,124,606.38
  5. Step 5: Solve for x
    x = 20,124,606.38/4,092.39
  6. Step 6: Final answer
    x = 4,917.57

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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.