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Finding the Fourth Proportional to 3,652.92, 5,041.02 and 2,081

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Solution

The fourth proportional to 3,652.92, 5,041.02 and 2,081 is: 2,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.92 : 5,041.02 = 2,081 : x
  2. Step 2: Convert to fraction form
    3,652.92/5,041.02 = 2,081/x
  3. Step 3: Cross multiply
    3,652.92x = 5,041.02 × 2,081
  4. Step 4: Simplify right side
    3,652.92x = 10,490,362.62
  5. Step 5: Solve for x
    x = 10,490,362.62/3,652.92
  6. Step 6: Final answer
    x = 2,871.77

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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.