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Finding the Fourth Proportional to 3,684.67, 5,528.53 and 1,492.84

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Solution

The fourth proportional to 3,684.67, 5,528.53 and 1,492.84 is: 2,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.67 : 5,528.53 = 1,492.84 : x
  2. Step 2: Convert to fraction form
    3,684.67/5,528.53 = 1,492.84/x
  3. Step 3: Cross multiply
    3,684.67x = 5,528.53 × 1,492.84
  4. Step 4: Simplify right side
    3,684.67x = 8,253,203.26
  5. Step 5: Solve for x
    x = 8,253,203.26/3,684.67
  6. Step 6: Final answer
    x = 2,239.88

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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.