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Finding the Fourth Proportional to 3,796.58, 5,695.11 and 1,164.17

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Solution

The fourth proportional to 3,796.58, 5,695.11 and 1,164.17 is: 1,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.58 : 5,695.11 = 1,164.17 : x
  2. Step 2: Convert to fraction form
    3,796.58/5,695.11 = 1,164.17/x
  3. Step 3: Cross multiply
    3,796.58x = 5,695.11 × 1,164.17
  4. Step 4: Simplify right side
    3,796.58x = 6,630,090.45
  5. Step 5: Solve for x
    x = 6,630,090.45/3,796.58
  6. Step 6: Final answer
    x = 1,746.33

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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.