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Finding the Fourth Proportional to 3,616.21, 5,424.19 and 1,534.88

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Solution

The fourth proportional to 3,616.21, 5,424.19 and 1,534.88 is: 2,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.21 : 5,424.19 = 1,534.88 : x
  2. Step 2: Convert to fraction form
    3,616.21/5,424.19 = 1,534.88/x
  3. Step 3: Cross multiply
    3,616.21x = 5,424.19 × 1,534.88
  4. Step 4: Simplify right side
    3,616.21x = 8,325,480.75
  5. Step 5: Solve for x
    x = 8,325,480.75/3,616.21
  6. Step 6: Final answer
    x = 2,302.27

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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.