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Finding the Fourth Proportional to 3,935.64, 5,902.96 and 1,987

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Solution

The fourth proportional to 3,935.64, 5,902.96 and 1,987 is: 2,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.64 : 5,902.96 = 1,987 : x
  2. Step 2: Convert to fraction form
    3,935.64/5,902.96 = 1,987/x
  3. Step 3: Cross multiply
    3,935.64x = 5,902.96 × 1,987
  4. Step 4: Simplify right side
    3,935.64x = 11,729,181.52
  5. Step 5: Solve for x
    x = 11,729,181.52/3,935.64
  6. Step 6: Final answer
    x = 2,980.25

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