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Finding the Fourth Proportional to 5,090.24, 7,646.81 and 3,612.80

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Solution

The fourth proportional to 5,090.24, 7,646.81 and 3,612.80 is: 5,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.24 : 7,646.81 = 3,612.80 : x
  2. Step 2: Convert to fraction form
    5,090.24/7,646.81 = 3,612.80/x
  3. Step 3: Cross multiply
    5,090.24x = 7,646.81 × 3,612.80
  4. Step 4: Simplify right side
    5,090.24x = 27,626,396.22
  5. Step 5: Solve for x
    x = 27,626,396.22/5,090.24
  6. Step 6: Final answer
    x = 5,427.32

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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.