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Finding the Fourth Proportional to 3,644.75, 5,465.18 and 1,424.33

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Solution

The fourth proportional to 3,644.75, 5,465.18 and 1,424.33 is: 2,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.75 : 5,465.18 = 1,424.33 : x
  2. Step 2: Convert to fraction form
    3,644.75/5,465.18 = 1,424.33/x
  3. Step 3: Cross multiply
    3,644.75x = 5,465.18 × 1,424.33
  4. Step 4: Simplify right side
    3,644.75x = 7,784,226.37
  5. Step 5: Solve for x
    x = 7,784,226.37/3,644.75
  6. Step 6: Final answer
    x = 2,135.74

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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.