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Finding the Fourth Proportional to 3,964.64, 5,949.68 and 1,775.81

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Solution

The fourth proportional to 3,964.64, 5,949.68 and 1,775.81 is: 2,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.64 : 5,949.68 = 1,775.81 : x
  2. Step 2: Convert to fraction form
    3,964.64/5,949.68 = 1,775.81/x
  3. Step 3: Cross multiply
    3,964.64x = 5,949.68 × 1,775.81
  4. Step 4: Simplify right side
    3,964.64x = 10,565,462.61
  5. Step 5: Solve for x
    x = 10,565,462.61/3,964.64
  6. Step 6: Final answer
    x = 2,664.93

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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.