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Finding the Fourth Proportional to 4,090.57, 5,645.03 and 2,321.80

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Solution

The fourth proportional to 4,090.57, 5,645.03 and 2,321.80 is: 3,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.57 : 5,645.03 = 2,321.80 : x
  2. Step 2: Convert to fraction form
    4,090.57/5,645.03 = 2,321.80/x
  3. Step 3: Cross multiply
    4,090.57x = 5,645.03 × 2,321.80
  4. Step 4: Simplify right side
    4,090.57x = 13,106,604.93
  5. Step 5: Solve for x
    x = 13,106,604.93/4,090.57
  6. Step 6: Final answer
    x = 3,204.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.