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Finding the Fourth Proportional to 3,957.72, 5,932.26 and 1,763.46

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Solution

The fourth proportional to 3,957.72, 5,932.26 and 1,763.46 is: 2,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.72 : 5,932.26 = 1,763.46 : x
  2. Step 2: Convert to fraction form
    3,957.72/5,932.26 = 1,763.46/x
  3. Step 3: Cross multiply
    3,957.72x = 5,932.26 × 1,763.46
  4. Step 4: Simplify right side
    3,957.72x = 10,461,303.22
  5. Step 5: Solve for x
    x = 10,461,303.22/3,957.72
  6. Step 6: Final answer
    x = 2,643.27

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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.