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Finding the Fourth Proportional to 3,643.98, 5,468.64 and 1,423.14

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Solution

The fourth proportional to 3,643.98, 5,468.64 and 1,423.14 is: 2,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.98 : 5,468.64 = 1,423.14 : x
  2. Step 2: Convert to fraction form
    3,643.98/5,468.64 = 1,423.14/x
  3. Step 3: Cross multiply
    3,643.98x = 5,468.64 × 1,423.14
  4. Step 4: Simplify right side
    3,643.98x = 7,782,640.33
  5. Step 5: Solve for x
    x = 7,782,640.33/3,643.98
  6. Step 6: Final answer
    x = 2,135.75

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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.