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Finding the Fourth Proportional to 3,661.95, 5,053.68 and 2,090.01

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Solution

The fourth proportional to 3,661.95, 5,053.68 and 2,090.01 is: 2,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.95 : 5,053.68 = 2,090.01 : x
  2. Step 2: Convert to fraction form
    3,661.95/5,053.68 = 2,090.01/x
  3. Step 3: Cross multiply
    3,661.95x = 5,053.68 × 2,090.01
  4. Step 4: Simplify right side
    3,661.95x = 10,562,241.74
  5. Step 5: Solve for x
    x = 10,562,241.74/3,661.95
  6. Step 6: Final answer
    x = 2,884.32

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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.