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Finding the Fourth Proportional to 3,706.16, 5,114.65 and 2,134.25

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Solution

The fourth proportional to 3,706.16, 5,114.65 and 2,134.25 is: 2,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.16 : 5,114.65 = 2,134.25 : x
  2. Step 2: Convert to fraction form
    3,706.16/5,114.65 = 2,134.25/x
  3. Step 3: Cross multiply
    3,706.16x = 5,114.65 × 2,134.25
  4. Step 4: Simplify right side
    3,706.16x = 10,915,910.85
  5. Step 5: Solve for x
    x = 10,915,910.85/3,706.16
  6. Step 6: Final answer
    x = 2,945.35

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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.