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Finding the Fourth Proportional to 5,714.01, 7,883.46 and 3,355.70

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Solution

The fourth proportional to 5,714.01, 7,883.46 and 3,355.70 is: 4,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.01 : 7,883.46 = 3,355.70 : x
  2. Step 2: Convert to fraction form
    5,714.01/7,883.46 = 3,355.70/x
  3. Step 3: Cross multiply
    5,714.01x = 7,883.46 × 3,355.70
  4. Step 4: Simplify right side
    5,714.01x = 26,454,487.30
  5. Step 5: Solve for x
    x = 26,454,487.30/5,714.01
  6. Step 6: Final answer
    x = 4,629.76

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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.