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Finding the Fourth Proportional to 5,689.27, 7,842.49 and 4,492.09

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Solution

The fourth proportional to 5,689.27, 7,842.49 and 4,492.09 is: 6,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.27 : 7,842.49 = 4,492.09 : x
  2. Step 2: Convert to fraction form
    5,689.27/7,842.49 = 4,492.09/x
  3. Step 3: Cross multiply
    5,689.27x = 7,842.49 × 4,492.09
  4. Step 4: Simplify right side
    5,689.27x = 35,229,170.90
  5. Step 5: Solve for x
    x = 35,229,170.90/5,689.27
  6. Step 6: Final answer
    x = 6,192.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.