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Finding the Fourth Proportional to 4,157.34, 5,736.87 and 2,294.34

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Solution

The fourth proportional to 4,157.34, 5,736.87 and 2,294.34 is: 3,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.34 : 5,736.87 = 2,294.34 : x
  2. Step 2: Convert to fraction form
    4,157.34/5,736.87 = 2,294.34/x
  3. Step 3: Cross multiply
    4,157.34x = 5,736.87 × 2,294.34
  4. Step 4: Simplify right side
    4,157.34x = 13,162,330.32
  5. Step 5: Solve for x
    x = 13,162,330.32/4,157.34
  6. Step 6: Final answer
    x = 3,166.05

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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.