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Finding the Fourth Proportional to 5,492.21, 8,239.14 and 1,596.11

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Solution

The fourth proportional to 5,492.21, 8,239.14 and 1,596.11 is: 2,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.21 : 8,239.14 = 1,596.11 : x
  2. Step 2: Convert to fraction form
    5,492.21/8,239.14 = 1,596.11/x
  3. Step 3: Cross multiply
    5,492.21x = 8,239.14 × 1,596.11
  4. Step 4: Simplify right side
    5,492.21x = 13,150,573.75
  5. Step 5: Solve for x
    x = 13,150,573.75/5,492.21
  6. Step 6: Final answer
    x = 2,394.40

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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.