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Finding the Fourth Proportional to 3,492.90, 4,819.99 and 2,000.47

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Solution

The fourth proportional to 3,492.90, 4,819.99 and 2,000.47 is: 2,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.90 : 4,819.99 = 2,000.47 : x
  2. Step 2: Convert to fraction form
    3,492.90/4,819.99 = 2,000.47/x
  3. Step 3: Cross multiply
    3,492.90x = 4,819.99 × 2,000.47
  4. Step 4: Simplify right side
    3,492.90x = 9,642,245.40
  5. Step 5: Solve for x
    x = 9,642,245.40/3,492.90
  6. Step 6: Final answer
    x = 2,760.53

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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.