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Finding the Fourth Proportional to 4,166.74, 5,754.41 and 3,604.51

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Solution

The fourth proportional to 4,166.74, 5,754.41 and 3,604.51 is: 4,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.74 : 5,754.41 = 3,604.51 : x
  2. Step 2: Convert to fraction form
    4,166.74/5,754.41 = 3,604.51/x
  3. Step 3: Cross multiply
    4,166.74x = 5,754.41 × 3,604.51
  4. Step 4: Simplify right side
    4,166.74x = 20,741,828.39
  5. Step 5: Solve for x
    x = 20,741,828.39/4,166.74
  6. Step 6: Final answer
    x = 4,977.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.