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Finding the Fourth Proportional to 3,706.26, 5,114.75 and 2,289.90

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Solution

The fourth proportional to 3,706.26, 5,114.75 and 2,289.90 is: 3,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.26 : 5,114.75 = 2,289.90 : x
  2. Step 2: Convert to fraction form
    3,706.26/5,114.75 = 2,289.90/x
  3. Step 3: Cross multiply
    3,706.26x = 5,114.75 × 2,289.90
  4. Step 4: Simplify right side
    3,706.26x = 11,712,266.03
  5. Step 5: Solve for x
    x = 11,712,266.03/3,706.26
  6. Step 6: Final answer
    x = 3,160.13

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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.