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Finding the Fourth Proportional to 3,661.76, 5,053.12 and 2,090.08

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Solution

The fourth proportional to 3,661.76, 5,053.12 and 2,090.08 is: 2,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.76 : 5,053.12 = 2,090.08 : x
  2. Step 2: Convert to fraction form
    3,661.76/5,053.12 = 2,090.08/x
  3. Step 3: Cross multiply
    3,661.76x = 5,053.12 × 2,090.08
  4. Step 4: Simplify right side
    3,661.76x = 10,561,425.05
  5. Step 5: Solve for x
    x = 10,561,425.05/3,661.76
  6. Step 6: Final answer
    x = 2,884.25

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Why These Related Problems?

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