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Finding the Fourth Proportional to 3,500.68, 5,243.06 and 2,714.38

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Solution

The fourth proportional to 3,500.68, 5,243.06 and 2,714.38 is: 4,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.68 : 5,243.06 = 2,714.38 : x
  2. Step 2: Convert to fraction form
    3,500.68/5,243.06 = 2,714.38/x
  3. Step 3: Cross multiply
    3,500.68x = 5,243.06 × 2,714.38
  4. Step 4: Simplify right side
    3,500.68x = 14,231,657.20
  5. Step 5: Solve for x
    x = 14,231,657.20/3,500.68
  6. Step 6: Final answer
    x = 4,065.40

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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.