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Finding the Fourth Proportional to 3,793.89, 5,690.84 and 1,714.88

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Solution

The fourth proportional to 3,793.89, 5,690.84 and 1,714.88 is: 2,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.89 : 5,690.84 = 1,714.88 : x
  2. Step 2: Convert to fraction form
    3,793.89/5,690.84 = 1,714.88/x
  3. Step 3: Cross multiply
    3,793.89x = 5,690.84 × 1,714.88
  4. Step 4: Simplify right side
    3,793.89x = 9,759,113.35
  5. Step 5: Solve for x
    x = 9,759,113.35/3,793.89
  6. Step 6: Final answer
    x = 2,572.32

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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.