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Finding the Fourth Proportional to 3,773.52, 5,201.40 and 2,986.08

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Solution

The fourth proportional to 3,773.52, 5,201.40 and 2,986.08 is: 4,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.52 : 5,201.40 = 2,986.08 : x
  2. Step 2: Convert to fraction form
    3,773.52/5,201.40 = 2,986.08/x
  3. Step 3: Cross multiply
    3,773.52x = 5,201.40 × 2,986.08
  4. Step 4: Simplify right side
    3,773.52x = 15,531,796.51
  5. Step 5: Solve for x
    x = 15,531,796.51/3,773.52
  6. Step 6: Final answer
    x = 4,116.00

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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.