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Finding the Fourth Proportional to 5,416.67, 8,122.14 and 2,492.44

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Solution

The fourth proportional to 5,416.67, 8,122.14 and 2,492.44 is: 3,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.67 : 8,122.14 = 2,492.44 : x
  2. Step 2: Convert to fraction form
    5,416.67/8,122.14 = 2,492.44/x
  3. Step 3: Cross multiply
    5,416.67x = 8,122.14 × 2,492.44
  4. Step 4: Simplify right side
    5,416.67x = 20,243,926.32
  5. Step 5: Solve for x
    x = 20,243,926.32/5,416.67
  6. Step 6: Final answer
    x = 3,737.34

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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.