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Finding the Fourth Proportional to 4,157.96, 5,737.97 and 2,294.96

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Solution

The fourth proportional to 4,157.96, 5,737.97 and 2,294.96 is: 3,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.96 : 5,737.97 = 2,294.96 : x
  2. Step 2: Convert to fraction form
    4,157.96/5,737.97 = 2,294.96/x
  3. Step 3: Cross multiply
    4,157.96x = 5,737.97 × 2,294.96
  4. Step 4: Simplify right side
    4,157.96x = 13,168,400.16
  5. Step 5: Solve for x
    x = 13,168,400.16/4,157.96
  6. Step 6: Final answer
    x = 3,167.03

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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.