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Finding the Fourth Proportional to 4,756.26, 7,134.78 and 1,246.26

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Solution

The fourth proportional to 4,756.26, 7,134.78 and 1,246.26 is: 1,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.26 : 7,134.78 = 1,246.26 : x
  2. Step 2: Convert to fraction form
    4,756.26/7,134.78 = 1,246.26/x
  3. Step 3: Cross multiply
    4,756.26x = 7,134.78 × 1,246.26
  4. Step 4: Simplify right side
    4,756.26x = 8,891,790.92
  5. Step 5: Solve for x
    x = 8,891,790.92/4,756.26
  6. Step 6: Final answer
    x = 1,869.49

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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.