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Finding the Fourth Proportional to 4,157.08, 5,736.72 and 2,294.08

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Solution

The fourth proportional to 4,157.08, 5,736.72 and 2,294.08 is: 3,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.08 : 5,736.72 = 2,294.08 : x
  2. Step 2: Convert to fraction form
    4,157.08/5,736.72 = 2,294.08/x
  3. Step 3: Cross multiply
    4,157.08x = 5,736.72 × 2,294.08
  4. Step 4: Simplify right side
    4,157.08x = 13,160,494.62
  5. Step 5: Solve for x
    x = 13,160,494.62/4,157.08
  6. Step 6: Final answer
    x = 3,165.80

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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.