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Finding the Fourth Proportional to 3,830.76, 5,746.32 and 1,198.44

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Solution

The fourth proportional to 3,830.76, 5,746.32 and 1,198.44 is: 1,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.76 : 5,746.32 = 1,198.44 : x
  2. Step 2: Convert to fraction form
    3,830.76/5,746.32 = 1,198.44/x
  3. Step 3: Cross multiply
    3,830.76x = 5,746.32 × 1,198.44
  4. Step 4: Simplify right side
    3,830.76x = 6,886,619.74
  5. Step 5: Solve for x
    x = 6,886,619.74/3,830.76
  6. Step 6: Final answer
    x = 1,797.72

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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.