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Finding the Fourth Proportional to 3,796.49, 5,695.56 and 1,164.21

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Solution

The fourth proportional to 3,796.49, 5,695.56 and 1,164.21 is: 1,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.49 : 5,695.56 = 1,164.21 : x
  2. Step 2: Convert to fraction form
    3,796.49/5,695.56 = 1,164.21/x
  3. Step 3: Cross multiply
    3,796.49x = 5,695.56 × 1,164.21
  4. Step 4: Simplify right side
    3,796.49x = 6,630,827.91
  5. Step 5: Solve for x
    x = 6,630,827.91/3,796.49
  6. Step 6: Final answer
    x = 1,746.57

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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.