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Finding the Fourth Proportional to 4,157.63, 5,737.67 and 2,294.63

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Solution

The fourth proportional to 4,157.63, 5,737.67 and 2,294.63 is: 3,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.63 : 5,737.67 = 2,294.63 : x
  2. Step 2: Convert to fraction form
    4,157.63/5,737.67 = 2,294.63/x
  3. Step 3: Cross multiply
    4,157.63x = 5,737.67 × 2,294.63
  4. Step 4: Simplify right side
    4,157.63x = 13,165,789.55
  5. Step 5: Solve for x
    x = 13,165,789.55/4,157.63
  6. Step 6: Final answer
    x = 3,166.66

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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.