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Finding the Fourth Proportional to 5,461.65, 8,184.92 and 2,492.85

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Solution

The fourth proportional to 5,461.65, 8,184.92 and 2,492.85 is: 3,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.65 : 8,184.92 = 2,492.85 : x
  2. Step 2: Convert to fraction form
    5,461.65/8,184.92 = 2,492.85/x
  3. Step 3: Cross multiply
    5,461.65x = 8,184.92 × 2,492.85
  4. Step 4: Simplify right side
    5,461.65x = 20,403,777.82
  5. Step 5: Solve for x
    x = 20,403,777.82/5,461.65
  6. Step 6: Final answer
    x = 3,735.83

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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.