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Finding the Fourth Proportional to 5,649.65, 8,474.39 and 1,754.06

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Solution

The fourth proportional to 5,649.65, 8,474.39 and 1,754.06 is: 2,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.65 : 8,474.39 = 1,754.06 : x
  2. Step 2: Convert to fraction form
    5,649.65/8,474.39 = 1,754.06/x
  3. Step 3: Cross multiply
    5,649.65x = 8,474.39 × 1,754.06
  4. Step 4: Simplify right side
    5,649.65x = 14,864,579.75
  5. Step 5: Solve for x
    x = 14,864,579.75/5,649.65
  6. Step 6: Final answer
    x = 2,631.06

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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.