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Finding the Fourth Proportional to 3,661.80, 5,053.32 and 2,090.40

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Solution

The fourth proportional to 3,661.80, 5,053.32 and 2,090.40 is: 2,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.80 : 5,053.32 = 2,090.40 : x
  2. Step 2: Convert to fraction form
    3,661.80/5,053.32 = 2,090.40/x
  3. Step 3: Cross multiply
    3,661.80x = 5,053.32 × 2,090.40
  4. Step 4: Simplify right side
    3,661.80x = 10,563,460.13
  5. Step 5: Solve for x
    x = 10,563,460.13/3,661.80
  6. Step 6: Final answer
    x = 2,884.77

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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.