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Finding the Fourth Proportional to 3,611.58, 5,416.88 and 1,421.84

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Solution

The fourth proportional to 3,611.58, 5,416.88 and 1,421.84 is: 2,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.58 : 5,416.88 = 1,421.84 : x
  2. Step 2: Convert to fraction form
    3,611.58/5,416.88 = 1,421.84/x
  3. Step 3: Cross multiply
    3,611.58x = 5,416.88 × 1,421.84
  4. Step 4: Simplify right side
    3,611.58x = 7,701,936.66
  5. Step 5: Solve for x
    x = 7,701,936.66/3,611.58
  6. Step 6: Final answer
    x = 2,132.57

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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.