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Finding the Fourth Proportional to 3,936.64, 5,904.94 and 1,987.47

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Solution

The fourth proportional to 3,936.64, 5,904.94 and 1,987.47 is: 2,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.64 : 5,904.94 = 1,987.47 : x
  2. Step 2: Convert to fraction form
    3,936.64/5,904.94 = 1,987.47/x
  3. Step 3: Cross multiply
    3,936.64x = 5,904.94 × 1,987.47
  4. Step 4: Simplify right side
    3,936.64x = 11,735,891.10
  5. Step 5: Solve for x
    x = 11,735,891.10/3,936.64
  6. Step 6: Final answer
    x = 2,981.19

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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.