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Finding the Fourth Proportional to 4,165.42, 5,741.58 and 3,659.98

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Solution

The fourth proportional to 4,165.42, 5,741.58 and 3,659.98 is: 5,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.42 : 5,741.58 = 3,659.98 : x
  2. Step 2: Convert to fraction form
    4,165.42/5,741.58 = 3,659.98/x
  3. Step 3: Cross multiply
    4,165.42x = 5,741.58 × 3,659.98
  4. Step 4: Simplify right side
    4,165.42x = 21,014,067.97
  5. Step 5: Solve for x
    x = 21,014,067.97/4,165.42
  6. Step 6: Final answer
    x = 5,044.89

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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.