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Finding the Fourth Proportional to 3,957.21, 5,936.16 and 1,035.51

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Solution

The fourth proportional to 3,957.21, 5,936.16 and 1,035.51 is: 1,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.21 : 5,936.16 = 1,035.51 : x
  2. Step 2: Convert to fraction form
    3,957.21/5,936.16 = 1,035.51/x
  3. Step 3: Cross multiply
    3,957.21x = 5,936.16 × 1,035.51
  4. Step 4: Simplify right side
    3,957.21x = 6,146,953.04
  5. Step 5: Solve for x
    x = 6,146,953.04/3,957.21
  6. Step 6: Final answer
    x = 1,553.36

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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.