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Finding the Fourth Proportional to 4,153.26, 5,731.90 and 2,290.26

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Solution

The fourth proportional to 4,153.26, 5,731.90 and 2,290.26 is: 3,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.26 : 5,731.90 = 2,290.26 : x
  2. Step 2: Convert to fraction form
    4,153.26/5,731.90 = 2,290.26/x
  3. Step 3: Cross multiply
    4,153.26x = 5,731.90 × 2,290.26
  4. Step 4: Simplify right side
    4,153.26x = 13,127,541.29
  5. Step 5: Solve for x
    x = 13,127,541.29/4,153.26
  6. Step 6: Final answer
    x = 3,160.78

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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.