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Finding the Fourth Proportional to 3,957.74, 5,935.40 and 1,324.63

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Solution

The fourth proportional to 3,957.74, 5,935.40 and 1,324.63 is: 1,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.74 : 5,935.40 = 1,324.63 : x
  2. Step 2: Convert to fraction form
    3,957.74/5,935.40 = 1,324.63/x
  3. Step 3: Cross multiply
    3,957.74x = 5,935.40 × 1,324.63
  4. Step 4: Simplify right side
    3,957.74x = 7,862,206.90
  5. Step 5: Solve for x
    x = 7,862,206.90/3,957.74
  6. Step 6: Final answer
    x = 1,986.54

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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.