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Finding the Fourth Proportional to 4,738.92, 7,106.67 and 1,406.18

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Solution

The fourth proportional to 4,738.92, 7,106.67 and 1,406.18 is: 2,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.92 : 7,106.67 = 1,406.18 : x
  2. Step 2: Convert to fraction form
    4,738.92/7,106.67 = 1,406.18/x
  3. Step 3: Cross multiply
    4,738.92x = 7,106.67 × 1,406.18
  4. Step 4: Simplify right side
    4,738.92x = 9,993,221.69
  5. Step 5: Solve for x
    x = 9,993,221.69/4,738.92
  6. Step 6: Final answer
    x = 2,108.76

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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.