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Finding the Fourth Proportional to 3,798.34, 5,698.34 and 1,166.21

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Solution

The fourth proportional to 3,798.34, 5,698.34 and 1,166.21 is: 1,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.34 : 5,698.34 = 1,166.21 : x
  2. Step 2: Convert to fraction form
    3,798.34/5,698.34 = 1,166.21/x
  3. Step 3: Cross multiply
    3,798.34x = 5,698.34 × 1,166.21
  4. Step 4: Simplify right side
    3,798.34x = 6,645,435.52
  5. Step 5: Solve for x
    x = 6,645,435.52/3,798.34
  6. Step 6: Final answer
    x = 1,749.56

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1.5x scale

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.