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Finding the Fourth Proportional to 3,642.30, 5,451.70 and 1,884.89

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Solution

The fourth proportional to 3,642.30, 5,451.70 and 1,884.89 is: 2,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.30 : 5,451.70 = 1,884.89 : x
  2. Step 2: Convert to fraction form
    3,642.30/5,451.70 = 1,884.89/x
  3. Step 3: Cross multiply
    3,642.30x = 5,451.70 × 1,884.89
  4. Step 4: Simplify right side
    3,642.30x = 10,275,827.55
  5. Step 5: Solve for x
    x = 10,275,827.55/3,642.30
  6. Step 6: Final answer
    x = 2,821.25

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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.