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Finding the Fourth Proportional to 3,391.68, 5,084.64 and 2,090.24

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Solution

The fourth proportional to 3,391.68, 5,084.64 and 2,090.24 is: 3,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.68 : 5,084.64 = 2,090.24 : x
  2. Step 2: Convert to fraction form
    3,391.68/5,084.64 = 2,090.24/x
  3. Step 3: Cross multiply
    3,391.68x = 5,084.64 × 2,090.24
  4. Step 4: Simplify right side
    3,391.68x = 10,628,117.91
  5. Step 5: Solve for x
    x = 10,628,117.91/3,391.68
  6. Step 6: Final answer
    x = 3,133.59

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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.