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Finding the Fourth Proportional to 3,633.80, 5,451.74 and 1,880.04

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Solution

The fourth proportional to 3,633.80, 5,451.74 and 1,880.04 is: 2,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.80 : 5,451.74 = 1,880.04 : x
  2. Step 2: Convert to fraction form
    3,633.80/5,451.74 = 1,880.04/x
  3. Step 3: Cross multiply
    3,633.80x = 5,451.74 × 1,880.04
  4. Step 4: Simplify right side
    3,633.80x = 10,249,489.27
  5. Step 5: Solve for x
    x = 10,249,489.27/3,633.80
  6. Step 6: Final answer
    x = 2,820.60

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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.