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Finding the Fourth Proportional to 3,946.65, 5,446.16 and 2,178.14

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Solution

The fourth proportional to 3,946.65, 5,446.16 and 2,178.14 is: 3,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.65 : 5,446.16 = 2,178.14 : x
  2. Step 2: Convert to fraction form
    3,946.65/5,446.16 = 2,178.14/x
  3. Step 3: Cross multiply
    3,946.65x = 5,446.16 × 2,178.14
  4. Step 4: Simplify right side
    3,946.65x = 11,862,505.75
  5. Step 5: Solve for x
    x = 11,862,505.75/3,946.65
  6. Step 6: Final answer
    x = 3,005.72

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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.