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Finding the Fourth Proportional to 5,090.64, 7,635.56 and 3,616.22

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Solution

The fourth proportional to 5,090.64, 7,635.56 and 3,616.22 is: 5,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.64 : 7,635.56 = 3,616.22 : x
  2. Step 2: Convert to fraction form
    5,090.64/7,635.56 = 3,616.22/x
  3. Step 3: Cross multiply
    5,090.64x = 7,635.56 × 3,616.22
  4. Step 4: Simplify right side
    5,090.64x = 27,611,808.52
  5. Step 5: Solve for x
    x = 27,611,808.52/5,090.64
  6. Step 6: Final answer
    x = 5,424.03

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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.