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Finding the Fourth Proportional to 3,642.88, 5,460.66 and 2,000.20

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Solution

The fourth proportional to 3,642.88, 5,460.66 and 2,000.20 is: 2,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.88 : 5,460.66 = 2,000.20 : x
  2. Step 2: Convert to fraction form
    3,642.88/5,460.66 = 2,000.20/x
  3. Step 3: Cross multiply
    3,642.88x = 5,460.66 × 2,000.20
  4. Step 4: Simplify right side
    3,642.88x = 10,922,412.13
  5. Step 5: Solve for x
    x = 10,922,412.13/3,642.88
  6. Step 6: Final answer
    x = 2,998.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.