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Finding the Fourth Proportional to 3,619.16, 5,424.99 and 1,646.16

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Solution

The fourth proportional to 3,619.16, 5,424.99 and 1,646.16 is: 2,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.16 : 5,424.99 = 1,646.16 : x
  2. Step 2: Convert to fraction form
    3,619.16/5,424.99 = 1,646.16/x
  3. Step 3: Cross multiply
    3,619.16x = 5,424.99 × 1,646.16
  4. Step 4: Simplify right side
    3,619.16x = 8,930,394.15
  5. Step 5: Solve for x
    x = 8,930,394.15/3,619.16
  6. Step 6: Final answer
    x = 2,467.53

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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.