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Finding the Fourth Proportional to 3,706.28, 5,114.04 and 2,290.16

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Solution

The fourth proportional to 3,706.28, 5,114.04 and 2,290.16 is: 3,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.28 : 5,114.04 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    3,706.28/5,114.04 = 2,290.16/x
  3. Step 3: Cross multiply
    3,706.28x = 5,114.04 × 2,290.16
  4. Step 4: Simplify right side
    3,706.28x = 11,711,969.85
  5. Step 5: Solve for x
    x = 11,711,969.85/3,706.28
  6. Step 6: Final answer
    x = 3,160.03

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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.