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Finding the Fourth Proportional to 3,964.66, 5,946.51 and 1,043.19

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Solution

The fourth proportional to 3,964.66, 5,946.51 and 1,043.19 is: 1,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.66 : 5,946.51 = 1,043.19 : x
  2. Step 2: Convert to fraction form
    3,964.66/5,946.51 = 1,043.19/x
  3. Step 3: Cross multiply
    3,964.66x = 5,946.51 × 1,043.19
  4. Step 4: Simplify right side
    3,964.66x = 6,203,343.68
  5. Step 5: Solve for x
    x = 6,203,343.68/3,964.66
  6. Step 6: Final answer
    x = 1,564.66

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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.