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Finding the Fourth Proportional to 3,965.66, 5,946.53 and 1,332.26

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Solution

The fourth proportional to 3,965.66, 5,946.53 and 1,332.26 is: 1,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.66 : 5,946.53 = 1,332.26 : x
  2. Step 2: Convert to fraction form
    3,965.66/5,946.53 = 1,332.26/x
  3. Step 3: Cross multiply
    3,965.66x = 5,946.53 × 1,332.26
  4. Step 4: Simplify right side
    3,965.66x = 7,922,287.66
  5. Step 5: Solve for x
    x = 7,922,287.66/3,965.66
  6. Step 6: Final answer
    x = 1,997.72

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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.