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Finding the Fourth Proportional to 5,644.68, 8,464.68 and 2,134.07

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Solution

The fourth proportional to 5,644.68, 8,464.68 and 2,134.07 is: 3,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.68 : 8,464.68 = 2,134.07 : x
  2. Step 2: Convert to fraction form
    5,644.68/8,464.68 = 2,134.07/x
  3. Step 3: Cross multiply
    5,644.68x = 8,464.68 × 2,134.07
  4. Step 4: Simplify right side
    5,644.68x = 18,064,219.65
  5. Step 5: Solve for x
    x = 18,064,219.65/5,644.68
  6. Step 6: Final answer
    x = 3,200.22

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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.