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Finding the Fourth Proportional to 3,834.58, 5,751.22 and 1,237.52

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Solution

The fourth proportional to 3,834.58, 5,751.22 and 1,237.52 is: 1,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.58 : 5,751.22 = 1,237.52 : x
  2. Step 2: Convert to fraction form
    3,834.58/5,751.22 = 1,237.52/x
  3. Step 3: Cross multiply
    3,834.58x = 5,751.22 × 1,237.52
  4. Step 4: Simplify right side
    3,834.58x = 7,117,249.77
  5. Step 5: Solve for x
    x = 7,117,249.77/3,834.58
  6. Step 6: Final answer
    x = 1,856.07

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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.