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Finding the Fourth Proportional to 3,652.87, 5,041.39 and 2,081.20

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Solution

The fourth proportional to 3,652.87, 5,041.39 and 2,081.20 is: 2,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.87 : 5,041.39 = 2,081.20 : x
  2. Step 2: Convert to fraction form
    3,652.87/5,041.39 = 2,081.20/x
  3. Step 3: Cross multiply
    3,652.87x = 5,041.39 × 2,081.20
  4. Step 4: Simplify right side
    3,652.87x = 10,492,123.06
  5. Step 5: Solve for x
    x = 10,492,123.06/3,652.87
  6. Step 6: Final answer
    x = 2,872.30

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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.