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Finding the Fourth Proportional to 4,273.60, 6,406 and 2,714.74

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Solution

The fourth proportional to 4,273.60, 6,406 and 2,714.74 is: 4,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.60 : 6,406 = 2,714.74 : x
  2. Step 2: Convert to fraction form
    4,273.60/6,406 = 2,714.74/x
  3. Step 3: Cross multiply
    4,273.60x = 6,406 × 2,714.74
  4. Step 4: Simplify right side
    4,273.60x = 17,390,624.44
  5. Step 5: Solve for x
    x = 17,390,624.44/4,273.60
  6. Step 6: Final answer
    x = 4,069.31

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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.