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Finding the Fourth Proportional to 4,786.92, 7,176.02 and 1,708.20

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Solution

The fourth proportional to 4,786.92, 7,176.02 and 1,708.20 is: 2,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.92 : 7,176.02 = 1,708.20 : x
  2. Step 2: Convert to fraction form
    4,786.92/7,176.02 = 1,708.20/x
  3. Step 3: Cross multiply
    4,786.92x = 7,176.02 × 1,708.20
  4. Step 4: Simplify right side
    4,786.92x = 12,258,077.36
  5. Step 5: Solve for x
    x = 12,258,077.36/4,786.92
  6. Step 6: Final answer
    x = 2,560.74

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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.