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Finding the Fourth Proportional to 5,157.94, 7,114.29 and 3,169.57

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Solution

The fourth proportional to 5,157.94, 7,114.29 and 3,169.57 is: 4,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.94 : 7,114.29 = 3,169.57 : x
  2. Step 2: Convert to fraction form
    5,157.94/7,114.29 = 3,169.57/x
  3. Step 3: Cross multiply
    5,157.94x = 7,114.29 × 3,169.57
  4. Step 4: Simplify right side
    5,157.94x = 22,549,240.16
  5. Step 5: Solve for x
    x = 22,549,240.16/5,157.94
  6. Step 6: Final answer
    x = 4,371.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.