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Finding the Fourth Proportional to 3,965.36, 5,948.91 and 1,332.96

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Solution

The fourth proportional to 3,965.36, 5,948.91 and 1,332.96 is: 1,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.36 : 5,948.91 = 1,332.96 : x
  2. Step 2: Convert to fraction form
    3,965.36/5,948.91 = 1,332.96/x
  3. Step 3: Cross multiply
    3,965.36x = 5,948.91 × 1,332.96
  4. Step 4: Simplify right side
    3,965.36x = 7,929,636.77
  5. Step 5: Solve for x
    x = 7,929,636.77/3,965.36
  6. Step 6: Final answer
    x = 1,999.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.