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Finding the Fourth Proportional to 3,965.47, 5,948.24 and 1,192.17

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Solution

The fourth proportional to 3,965.47, 5,948.24 and 1,192.17 is: 1,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.47 : 5,948.24 = 1,192.17 : x
  2. Step 2: Convert to fraction form
    3,965.47/5,948.24 = 1,192.17/x
  3. Step 3: Cross multiply
    3,965.47x = 5,948.24 × 1,192.17
  4. Step 4: Simplify right side
    3,965.47x = 7,091,313.28
  5. Step 5: Solve for x
    x = 7,091,313.28/3,965.47
  6. Step 6: Final answer
    x = 1,788.27

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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.