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Finding the Fourth Proportional to 3,981.64, 5,966.70 and 2,246.60

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Solution

The fourth proportional to 3,981.64, 5,966.70 and 2,246.60 is: 3,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.64 : 5,966.70 = 2,246.60 : x
  2. Step 2: Convert to fraction form
    3,981.64/5,966.70 = 2,246.60/x
  3. Step 3: Cross multiply
    3,981.64x = 5,966.70 × 2,246.60
  4. Step 4: Simplify right side
    3,981.64x = 13,404,788.22
  5. Step 5: Solve for x
    x = 13,404,788.22/3,981.64
  6. Step 6: Final answer
    x = 3,366.65

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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.