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Finding the Fourth Proportional to 4,946.77, 6,826.65 and 2,708.74

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Solution

The fourth proportional to 4,946.77, 6,826.65 and 2,708.74 is: 3,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.77 : 6,826.65 = 2,708.74 : x
  2. Step 2: Convert to fraction form
    4,946.77/6,826.65 = 2,708.74/x
  3. Step 3: Cross multiply
    4,946.77x = 6,826.65 × 2,708.74
  4. Step 4: Simplify right side
    4,946.77x = 18,491,619.92
  5. Step 5: Solve for x
    x = 18,491,619.92/4,946.77
  6. Step 6: Final answer
    x = 3,738.12

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Why These Related Problems?

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