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Finding the Fourth Proportional to 3,643.62, 5,466.42 and 1,453.90

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Solution

The fourth proportional to 3,643.62, 5,466.42 and 1,453.90 is: 2,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.62 : 5,466.42 = 1,453.90 : x
  2. Step 2: Convert to fraction form
    3,643.62/5,466.42 = 1,453.90/x
  3. Step 3: Cross multiply
    3,643.62x = 5,466.42 × 1,453.90
  4. Step 4: Simplify right side
    3,643.62x = 7,947,628.04
  5. Step 5: Solve for x
    x = 7,947,628.04/3,643.62
  6. Step 6: Final answer
    x = 2,181.25

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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.