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Finding the Fourth Proportional to 4,160.68, 5,741.64 and 2,297.68

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Solution

The fourth proportional to 4,160.68, 5,741.64 and 2,297.68 is: 3,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.68 : 5,741.64 = 2,297.68 : x
  2. Step 2: Convert to fraction form
    4,160.68/5,741.64 = 2,297.68/x
  3. Step 3: Cross multiply
    4,160.68x = 5,741.64 × 2,297.68
  4. Step 4: Simplify right side
    4,160.68x = 13,192,451.40
  5. Step 5: Solve for x
    x = 13,192,451.40/4,160.68
  6. Step 6: Final answer
    x = 3,170.74

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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.