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Finding the Fourth Proportional to 4,198.66, 5,794.15 and 2,335.66

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Solution

The fourth proportional to 4,198.66, 5,794.15 and 2,335.66 is: 3,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.66 : 5,794.15 = 2,335.66 : x
  2. Step 2: Convert to fraction form
    4,198.66/5,794.15 = 2,335.66/x
  3. Step 3: Cross multiply
    4,198.66x = 5,794.15 × 2,335.66
  4. Step 4: Simplify right side
    4,198.66x = 13,533,155.74
  5. Step 5: Solve for x
    x = 13,533,155.74/4,198.66
  6. Step 6: Final answer
    x = 3,223.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.