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Finding the Fourth Proportional to 5,492.96, 8,239.80 and 2,029.04

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Solution

The fourth proportional to 5,492.96, 8,239.80 and 2,029.04 is: 3,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.96 : 8,239.80 = 2,029.04 : x
  2. Step 2: Convert to fraction form
    5,492.96/8,239.80 = 2,029.04/x
  3. Step 3: Cross multiply
    5,492.96x = 8,239.80 × 2,029.04
  4. Step 4: Simplify right side
    5,492.96x = 16,718,883.79
  5. Step 5: Solve for x
    x = 16,718,883.79/5,492.96
  6. Step 6: Final answer
    x = 3,043.69

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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.