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Finding the Fourth Proportional to 3,611.64, 5,419.90 and 1,763.64

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Solution

The fourth proportional to 3,611.64, 5,419.90 and 1,763.64 is: 2,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.64 : 5,419.90 = 1,763.64 : x
  2. Step 2: Convert to fraction form
    3,611.64/5,419.90 = 1,763.64/x
  3. Step 3: Cross multiply
    3,611.64x = 5,419.90 × 1,763.64
  4. Step 4: Simplify right side
    3,611.64x = 9,558,752.44
  5. Step 5: Solve for x
    x = 9,558,752.44/3,611.64
  6. Step 6: Final answer
    x = 2,646.65

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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.