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Finding the Fourth Proportional to 2,507.97, 3,735.48 and 2,376.26

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Solution

The fourth proportional to 2,507.97, 3,735.48 and 2,376.26 is: 3,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.97 : 3,735.48 = 2,376.26 : x
  2. Step 2: Convert to fraction form
    2,507.97/3,735.48 = 2,376.26/x
  3. Step 3: Cross multiply
    2,507.97x = 3,735.48 × 2,376.26
  4. Step 4: Simplify right side
    2,507.97x = 8,876,441.15
  5. Step 5: Solve for x
    x = 8,876,441.15/2,507.97
  6. Step 6: Final answer
    x = 3,539.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.