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Finding the Fourth Proportional to 3,660.94, 5,491.40 and 1,714.51

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Solution

The fourth proportional to 3,660.94, 5,491.40 and 1,714.51 is: 2,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.94 : 5,491.40 = 1,714.51 : x
  2. Step 2: Convert to fraction form
    3,660.94/5,491.40 = 1,714.51/x
  3. Step 3: Cross multiply
    3,660.94x = 5,491.40 × 1,714.51
  4. Step 4: Simplify right side
    3,660.94x = 9,415,060.21
  5. Step 5: Solve for x
    x = 9,415,060.21/3,660.94
  6. Step 6: Final answer
    x = 2,571.76

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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.