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Finding the Fourth Proportional to 3,652.62, 5,041.98 and 2,161.08

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Solution

The fourth proportional to 3,652.62, 5,041.98 and 2,161.08 is: 2,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.62 : 5,041.98 = 2,161.08 : x
  2. Step 2: Convert to fraction form
    3,652.62/5,041.98 = 2,161.08/x
  3. Step 3: Cross multiply
    3,652.62x = 5,041.98 × 2,161.08
  4. Step 4: Simplify right side
    3,652.62x = 10,896,122.14
  5. Step 5: Solve for x
    x = 10,896,122.14/3,652.62
  6. Step 6: Final answer
    x = 2,983.10

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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.