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Finding the Fourth Proportional to 3,704.62, 5,109.96 and 2,376.22

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Solution

The fourth proportional to 3,704.62, 5,109.96 and 2,376.22 is: 3,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.62 : 5,109.96 = 2,376.22 : x
  2. Step 2: Convert to fraction form
    3,704.62/5,109.96 = 2,376.22/x
  3. Step 3: Cross multiply
    3,704.62x = 5,109.96 × 2,376.22
  4. Step 4: Simplify right side
    3,704.62x = 12,142,385.29
  5. Step 5: Solve for x
    x = 12,142,385.29/3,704.62
  6. Step 6: Final answer
    x = 3,277.64

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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.