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Finding the Fourth Proportional to 3,687.70, 5,530.71 and 1,090.02

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Solution

The fourth proportional to 3,687.70, 5,530.71 and 1,090.02 is: 1,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.70 : 5,530.71 = 1,090.02 : x
  2. Step 2: Convert to fraction form
    3,687.70/5,530.71 = 1,090.02/x
  3. Step 3: Cross multiply
    3,687.70x = 5,530.71 × 1,090.02
  4. Step 4: Simplify right side
    3,687.70x = 6,028,584.51
  5. Step 5: Solve for x
    x = 6,028,584.51/3,687.70
  6. Step 6: Final answer
    x = 1,634.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.