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Finding the Fourth Proportional to 3,652.02, 5,039.85 and 2,080.14

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Solution

The fourth proportional to 3,652.02, 5,039.85 and 2,080.14 is: 2,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.02 : 5,039.85 = 2,080.14 : x
  2. Step 2: Convert to fraction form
    3,652.02/5,039.85 = 2,080.14/x
  3. Step 3: Cross multiply
    3,652.02x = 5,039.85 × 2,080.14
  4. Step 4: Simplify right side
    3,652.02x = 10,483,593.58
  5. Step 5: Solve for x
    x = 10,483,593.58/3,652.02
  6. Step 6: Final answer
    x = 2,870.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.