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Finding the Fourth Proportional to 4,157.03, 5,736.71 and 2,294.03

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Solution

The fourth proportional to 4,157.03, 5,736.71 and 2,294.03 is: 3,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.03 : 5,736.71 = 2,294.03 : x
  2. Step 2: Convert to fraction form
    4,157.03/5,736.71 = 2,294.03/x
  3. Step 3: Cross multiply
    4,157.03x = 5,736.71 × 2,294.03
  4. Step 4: Simplify right side
    4,157.03x = 13,160,173.37
  5. Step 5: Solve for x
    x = 13,160,173.37/4,157.03
  6. Step 6: Final answer
    x = 3,165.76

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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.