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Finding the Fourth Proportional to 3,818.90, 5,730.17 and 1,354.88

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Solution

The fourth proportional to 3,818.90, 5,730.17 and 1,354.88 is: 2,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.90 : 5,730.17 = 1,354.88 : x
  2. Step 2: Convert to fraction form
    3,818.90/5,730.17 = 1,354.88/x
  3. Step 3: Cross multiply
    3,818.90x = 5,730.17 × 1,354.88
  4. Step 4: Simplify right side
    3,818.90x = 7,763,657.30
  5. Step 5: Solve for x
    x = 7,763,657.30/3,818.90
  6. Step 6: Final answer
    x = 2,032.96

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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.