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Finding the Fourth Proportional to 4,157.16, 5,736.88 and 2,294.16

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Solution

The fourth proportional to 4,157.16, 5,736.88 and 2,294.16 is: 3,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.16 : 5,736.88 = 2,294.16 : x
  2. Step 2: Convert to fraction form
    4,157.16/5,736.88 = 2,294.16/x
  3. Step 3: Cross multiply
    4,157.16x = 5,736.88 × 2,294.16
  4. Step 4: Simplify right side
    4,157.16x = 13,161,289.07
  5. Step 5: Solve for x
    x = 13,161,289.07/4,157.16
  6. Step 6: Final answer
    x = 3,165.94

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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.