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Finding the Fourth Proportional to 3,696.84, 5,546.88 and 1,966.68

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Solution

The fourth proportional to 3,696.84, 5,546.88 and 1,966.68 is: 2,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.84 : 5,546.88 = 1,966.68 : x
  2. Step 2: Convert to fraction form
    3,696.84/5,546.88 = 1,966.68/x
  3. Step 3: Cross multiply
    3,696.84x = 5,546.88 × 1,966.68
  4. Step 4: Simplify right side
    3,696.84x = 10,908,937.96
  5. Step 5: Solve for x
    x = 10,908,937.96/3,696.84
  6. Step 6: Final answer
    x = 2,950.88

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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.