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Finding the Fourth Proportional to 3,662.08, 5,054 and 2,090.16

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Solution

The fourth proportional to 3,662.08, 5,054 and 2,090.16 is: 2,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.08 : 5,054 = 2,090.16 : x
  2. Step 2: Convert to fraction form
    3,662.08/5,054 = 2,090.16/x
  3. Step 3: Cross multiply
    3,662.08x = 5,054 × 2,090.16
  4. Step 4: Simplify right side
    3,662.08x = 10,563,668.64
  5. Step 5: Solve for x
    x = 10,563,668.64/3,662.08
  6. Step 6: Final answer
    x = 2,884.61

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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.