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Finding the Fourth Proportional to 3,966.63, 5,947.70 and 2,718.63

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Solution

The fourth proportional to 3,966.63, 5,947.70 and 2,718.63 is: 4,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.63 : 5,947.70 = 2,718.63 : x
  2. Step 2: Convert to fraction form
    3,966.63/5,947.70 = 2,718.63/x
  3. Step 3: Cross multiply
    3,966.63x = 5,947.70 × 2,718.63
  4. Step 4: Simplify right side
    3,966.63x = 16,169,582.06
  5. Step 5: Solve for x
    x = 16,169,582.06/3,966.63
  6. Step 6: Final answer
    x = 4,076.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.